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        </link:calculationLink>
        <link:labelLink xlink:type="extended" xlink:role="http://www.xbrl.org/2003/role/link" >
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_DocumentInformationLineItems" xml:lang="en-US">Document Information [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentInformationLineItems" xlink:to="lab_dei_DocumentInformationLineItems" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_DocumentType" xml:lang="en-US">Document Type</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentType" xlink:to="lab_dei_DocumentType" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_AmendmentFlag" xml:lang="en-US">Amendment Flag</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_AmendmentFlag" xlink:to="lab_dei_AmendmentFlag" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_DocumentTransitionReport" xml:lang="en-US">Document Transition Report</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentTransitionReport" xlink:to="lab_dei_DocumentTransitionReport" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName" xlink:label="loc_dei_EntityRegistrantName" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityRegistrantName" xml:lang="en-US">Entity Registrant Name</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityRegistrantName" xlink:to="lab_dei_EntityRegistrantName" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityCentralIndexKey" xml:lang="en-US">Entity Central Index Key</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCentralIndexKey" xlink:to="lab_dei_EntityCentralIndexKey" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_DocumentPeriodEndDate" xml:lang="en-US">Document Period End Date</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentPeriodEndDate" xlink:to="lab_dei_DocumentPeriodEndDate" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentFiscalYearFocus" xlink:label="loc_dei_DocumentFiscalYearFocus" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_DocumentFiscalYearFocus" xml:lang="en-US">Document Fiscal Year Focus</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentFiscalYearFocus" xlink:to="lab_dei_DocumentFiscalYearFocus" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_DocumentFiscalPeriodFocus" xml:lang="en-US">Document Fiscal Period Focus</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentFiscalPeriodFocus" xlink:to="lab_dei_DocumentFiscalPeriodFocus" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_CurrentFiscalYearEndDate" xml:lang="en-US">Current Fiscal Year End Date</link:label>
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityIncorporationStateCountryCode" xlink:label="loc_dei_EntityIncorporationStateCountryCode" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityIncorporationStateCountryCode" xml:lang="en-US">Entity Incorporation, State or Country Code</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityIncorporationStateCountryCode" xlink:to="lab_dei_EntityIncorporationStateCountryCode" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber" xlink:label="loc_dei_EntityFileNumber" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityFileNumber" xml:lang="en-US">Entity File Number</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityFileNumber" xlink:to="lab_dei_EntityFileNumber" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber" xlink:label="loc_dei_EntityTaxIdentificationNumber" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityTaxIdentificationNumber" xml:lang="en-US">Entity Tax Identification Number</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityTaxIdentificationNumber" xlink:to="lab_dei_EntityTaxIdentificationNumber" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1" xlink:label="loc_dei_EntityAddressAddressLine1" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityAddressCityOrTown" xml:lang="en-US">Entity Address, City or Town</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressCityOrTown" xlink:to="lab_dei_EntityAddressCityOrTown" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityAddressStateOrProvince" xml:lang="en-US">Entity Address, State or Province</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressStateOrProvince" xlink:to="lab_dei_EntityAddressStateOrProvince" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityAddressPostalZipCode" xml:lang="en-US">Entity Address, Postal Zip Code</link:label>
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode" xlink:label="loc_dei_CityAreaCode" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_CityAreaCode" xml:lang="en-US">City Area Code</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CityAreaCode" xlink:to="lab_dei_CityAreaCode" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber" xlink:label="loc_dei_LocalPhoneNumber" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_LocalPhoneNumber" xml:lang="en-US">Local Phone Number</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_LocalPhoneNumber" xlink:to="lab_dei_LocalPhoneNumber" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityCurrentReportingStatus" xml:lang="en-US">Entity Current Reporting Status</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCurrentReportingStatus" xlink:to="lab_dei_EntityCurrentReportingStatus" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityInteractiveDataCurrent" xlink:label="loc_dei_EntityInteractiveDataCurrent" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityInteractiveDataCurrent" xml:lang="en-US">Entity Interactive Data Current</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityInteractiveDataCurrent" xlink:to="lab_dei_EntityInteractiveDataCurrent" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFilerCategory" xlink:label="loc_dei_EntityFilerCategory" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityFilerCategory" xml:lang="en-US">Entity Filer Category</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityFilerCategory" xlink:to="lab_dei_EntityFilerCategory" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntitySmallBusiness" xlink:label="loc_dei_EntitySmallBusiness" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntitySmallBusiness" xml:lang="en-US">Entity Small Business</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntitySmallBusiness" xlink:to="lab_dei_EntitySmallBusiness" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany" xlink:label="loc_dei_EntityEmergingGrowthCompany" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityEmergingGrowthCompany" xml:lang="en-US">Entity Emerging Growth Company</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityEmergingGrowthCompany" xlink:to="lab_dei_EntityEmergingGrowthCompany" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityExTransitionPeriod" xml:lang="en-US">Entity Ex Transition Period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityExTransitionPeriod" xlink:to="lab_dei_EntityExTransitionPeriod" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityShellCompany" xlink:label="loc_dei_EntityShellCompany" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityShellCompany" xml:lang="en-US">Entity Shell Company</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityShellCompany" xlink:to="lab_dei_EntityShellCompany" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityCommonStockSharesOutstanding" xml:lang="en-US">Entity Common Stock, Shares Outstanding</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCommonStockSharesOutstanding" xlink:to="lab_dei_EntityCommonStockSharesOutstanding" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_DocumentAnnualReport" xml:lang="en-US">Document Annual Report</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentAnnualReport" xlink:to="lab_dei_DocumentAnnualReport" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityWellKnownSeasonedIssuer" xlink:label="loc_dei_EntityWellKnownSeasonedIssuer" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityWellKnownSeasonedIssuer" xml:lang="en-US">Entity Well-known Seasoned Issuer</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityWellKnownSeasonedIssuer" xlink:to="lab_dei_EntityWellKnownSeasonedIssuer" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityVoluntaryFilers" xlink:label="loc_dei_EntityVoluntaryFilers" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityVoluntaryFilers" xml:lang="en-US">Entity Voluntary Filers</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityVoluntaryFilers" xlink:to="lab_dei_EntityVoluntaryFilers" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_IcfrAuditorAttestationFlag" xlink:label="loc_dei_IcfrAuditorAttestationFlag" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_IcfrAuditorAttestationFlag" xml:lang="en-US">ICFR Auditor Attestation Flag</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_IcfrAuditorAttestationFlag" xlink:to="lab_dei_IcfrAuditorAttestationFlag" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityPublicFloat" xlink:label="loc_dei_EntityPublicFloat" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityPublicFloat" xml:lang="en-US">Entity Public Float</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityPublicFloat" xlink:to="lab_dei_EntityPublicFloat" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_AuditorName" xml:lang="en-US">Auditor Name</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_AuditorName" xlink:to="lab_dei_AuditorName" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_AuditorFirmId" xml:lang="en-US">Auditor Firm ID</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_AuditorFirmId" xlink:to="lab_dei_AuditorFirmId" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_AuditorLocation" xml:lang="en-US">Auditor Location</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_AuditorLocation" xlink:to="lab_dei_AuditorLocation" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentFinStmtErrorCorrectionFlag" xlink:label="loc_dei_DocumentFinStmtErrorCorrectionFlag" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_DocumentFinStmtErrorCorrectionFlag" xml:lang="en-US">Document Financial Statement Error Correction [Flag]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentFinStmtErrorCorrectionFlag" xlink:to="lab_dei_DocumentFinStmtErrorCorrectionFlag" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementClassOfStockAxis" xlink:label="loc_us-gaap_StatementClassOfStockAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StatementClassOfStockAxis" xml:lang="en-US">Class of Stock [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementClassOfStockAxis" xlink:to="lab_us-gaap_StatementClassOfStockAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ClassOfStockDomain" xlink:label="loc_us-gaap_ClassOfStockDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ClassOfStockDomain" xml:lang="en-US">Class of Stock [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ClassOfStockDomain" xlink:to="lab_us-gaap_ClassOfStockDomain" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ClassSUnitsMember" xlink:label="loc_bxpe_ClassSUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ClassSUnitsMember" xml:lang="en-US">Class S Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ClassSUnitsMember" xml:lang="en-US">Class S Units [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ClassSUnitsMember" xlink:to="lab_bxpe_ClassSUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ClassSUnitsMember" xml:lang="en-US">Class s units.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ClassDUnitsMember" xlink:label="loc_bxpe_ClassDUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ClassDUnitsMember" xml:lang="en-US">Class D Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ClassDUnitsMember" xml:lang="en-US">Class D Units [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ClassDUnitsMember" xlink:to="lab_bxpe_ClassDUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ClassDUnitsMember" xml:lang="en-US">Class d units.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ClassIUnitsMember" xlink:label="loc_bxpe_ClassIUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ClassIUnitsMember" xml:lang="en-US">Class I Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ClassIUnitsMember" xml:lang="en-US">Class I Units [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ClassIUnitsMember" xlink:to="lab_bxpe_ClassIUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ClassIUnitsMember" xml:lang="en-US">Class I Units</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ClassNUnitsMember" xlink:label="loc_bxpe_ClassNUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ClassNUnitsMember" xml:lang="en-US">Class N Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ClassNUnitsMember" xml:lang="en-US">Class N Units [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ClassNUnitsMember" xlink:to="lab_bxpe_ClassNUnitsMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LegalEntityAxis" xlink:label="loc_dei_LegalEntityAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_LegalEntityAxis" xml:lang="en-US">Legal Entity [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_LegalEntityAxis" xlink:to="lab_dei_LegalEntityAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityDomain" xlink:label="loc_dei_EntityDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityDomain" xml:lang="en-US">Entity [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityDomain" xlink:to="lab_dei_EntityDomain" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_BlackstonePrivateEquityStrategiesFundTELPMember" xlink:label="loc_bxpe_BlackstonePrivateEquityStrategiesFundTELPMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_BlackstonePrivateEquityStrategiesFundTELPMember" xml:lang="en-US">Blackstone Private Equity Strategies Fund TE LP [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_BlackstonePrivateEquityStrategiesFundTELPMember" xml:lang="en-US">Blackstone Private Equity Strategies Fund (TE) L.P. [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_BlackstonePrivateEquityStrategiesFundTELPMember" xlink:to="lab_bxpe_BlackstonePrivateEquityStrategiesFundTELPMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_BlackstonePrivateEquityStrategiesFundTELPMember" xml:lang="en-US">Blackstone Private Equity Strategies Fund (TE) L.P.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementOfFinancialPositionAbstract" xlink:label="loc_us-gaap_StatementOfFinancialPositionAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StatementOfFinancialPositionAbstract" xml:lang="en-US">Statement of Financial Position [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract" xlink:to="lab_us-gaap_StatementOfFinancialPositionAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementTable" xlink:label="loc_us-gaap_StatementTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StatementTable" xml:lang="en-US">Statement [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementTable" xlink:to="lab_us-gaap_StatementTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementLineItems" xlink:label="loc_us-gaap_StatementLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StatementLineItems" xml:lang="en-US">Statement [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementLineItems" xlink:to="lab_us-gaap_StatementLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsAbstract" xlink:label="loc_us-gaap_AssetsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AssetsAbstract" xml:lang="en-US">Assets [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_AssetsAbstract" xml:lang="en-US">Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsAbstract" xlink:to="lab_us-gaap_AssetsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" xml:lang="en-US">Cash and Cash Equivalents, at Carrying Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" xml:lang="en-US">Cash and Cash Equivalents</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:to="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Assets" xlink:label="loc_us-gaap_Assets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_Assets" xml:lang="en-US">Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_Assets" xml:lang="en-US">Total Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Assets" xlink:to="lab_us-gaap_Assets" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedAtFairValue" xlink:label="loc_us-gaap_InvestmentOwnedAtFairValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xml:lang="en-US">Investment Owned, Fair Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xml:lang="en-US">Investments at Fair Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xml:lang="en-US">Fair Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xml:lang="en-US">Investment Owned, Fair Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedAtFairValue" xlink:to="lab_us-gaap_InvestmentOwnedAtFairValue" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredCostsAndOtherAssets" xlink:label="loc_us-gaap_DeferredCostsAndOtherAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredCostsAndOtherAssets" xml:lang="en-US">Deferred Costs and Other Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredCostsAndOtherAssets" xml:lang="en-US">Deferred Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredCostsAndOtherAssets" xlink:to="lab_us-gaap_DeferredCostsAndOtherAssets" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherAssets" xlink:label="loc_us-gaap_OtherAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherAssets" xml:lang="en-US">Other Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OtherAssets" xml:lang="en-US">Other Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherAssets" xlink:to="lab_us-gaap_OtherAssets" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xlink:label="loc_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xml:lang="en-US">Investments in Affiliates, Subsidiaries, Associates, and Joint Ventures, Fair Value Disclosure</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xml:lang="en-US">Investments in Affiliated Investee Funds at Fair Value (Cost $893,757 as of December&#160;31, 2025; $736,141 as of December&#160;31, 2024)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xml:lang="en-US">Investments in Affiliated Investee Funds</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xlink:to="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeAssets" xlink:label="loc_us-gaap_DerivativeAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeAssets" xml:lang="en-US">Derivative Asset</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeAssets" xml:lang="en-US">Derivative Assets at Fair Value (Cost $473 as of December&#160;31, 2025; $- as of December&#160;31, 2024)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_DerivativeAssets" xml:lang="en-US">Derivative Asset, Fair Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeAssets" xlink:to="lab_us-gaap_DerivativeAssets" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DueFromAffiliate" xlink:label="loc_bxpe_DueFromAffiliate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DueFromAffiliate" xml:lang="en-US">Due From Affiliates</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DueFromAffiliate" xml:lang="en-US">Due from Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DueFromAffiliate" xlink:to="lab_bxpe_DueFromAffiliate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DueFromAffiliate" xml:lang="en-US">Due from affiliates.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_Redemptionsreceivable" xlink:label="loc_bxpe_Redemptionsreceivable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_Redemptionsreceivable" xml:lang="en-US">RedemptionsReceivable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_Redemptionsreceivable" xml:lang="en-US">Redemption Receivable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_Redemptionsreceivable" xlink:to="lab_bxpe_Redemptionsreceivable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_Redemptionsreceivable" xml:lang="en-US">Redemptions&#160;receivable.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InterestAndDividendReceivableAndotherAssets" xlink:label="loc_bxpe_InterestAndDividendReceivableAndotherAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InterestAndDividendReceivableAndotherAssets" xml:lang="en-US">Interest And Dividend Receivable AndOther Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_InterestAndDividendReceivableAndotherAssets" xml:lang="en-US">Interest and Dividend Receivable and Other Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InterestAndDividendReceivableAndotherAssets" xlink:to="lab_bxpe_InterestAndDividendReceivableAndotherAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InterestAndDividendReceivableAndotherAssets" xml:lang="en-US">Interest and dividend receivable and other assets.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxAssetsNet" xlink:label="loc_us-gaap_DeferredIncomeTaxAssetsNet" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredIncomeTaxAssetsNet" xml:lang="en-US">Deferred Income Tax Assets, Net</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredIncomeTaxAssetsNet" xml:lang="en-US">Deferred Tax Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredIncomeTaxAssetsNet" xlink:to="lab_us-gaap_DeferredIncomeTaxAssetsNet" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xml:lang="en-US">Liabilities and Equity [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xml:lang="en-US">Liabilities and Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Liabilities" xlink:label="loc_us-gaap_Liabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_Liabilities" xml:lang="en-US">Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_Liabilities" xml:lang="en-US">Total Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Liabilities" xlink:to="lab_us-gaap_Liabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherLiabilities" xlink:label="loc_us-gaap_OtherLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherLiabilities" xml:lang="en-US">Other Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OtherLiabilities" xml:lang="en-US">Due to Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherLiabilities" xlink:to="lab_us-gaap_OtherLiabilities" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ServicingFeesPayable" xlink:label="loc_bxpe_ServicingFeesPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ServicingFeesPayable" xml:lang="en-US">Servicing Fees Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ServicingFeesPayable" xml:lang="en-US">Servicing Fees Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ServicingFeesPayable" xlink:to="lab_bxpe_ServicingFeesPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ServicingFeesPayable" xml:lang="en-US">Servicing fees payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountsPayableAndOtherAccruedLiabilities" xlink:label="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xml:lang="en-US">Accounts Payable and Other Accrued Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xml:lang="en-US">Accounts Payable, Accrued Expenses and Other Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xlink:to="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PayableInvestmentPurchase" xlink:label="loc_us-gaap_PayableInvestmentPurchase" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PayableInvestmentPurchase" xml:lang="en-US">Payable, Investment, Purchase</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_PayableInvestmentPurchase" xml:lang="en-US">Payable for Investments Purchased</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PayableInvestmentPurchase" xlink:to="lab_us-gaap_PayableInvestmentPurchase" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TaxesPayableCurrentAndNoncurrent" xlink:label="loc_us-gaap_TaxesPayableCurrentAndNoncurrent" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_TaxesPayableCurrentAndNoncurrent" xml:lang="en-US">Taxes Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_TaxesPayableCurrentAndNoncurrent" xml:lang="en-US">Taxes Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TaxesPayableCurrentAndNoncurrent" xlink:to="lab_us-gaap_TaxesPayableCurrentAndNoncurrent" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AdministrationFeesPayable" xlink:label="loc_bxpe_AdministrationFeesPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AdministrationFeesPayable" xml:lang="en-US">Administration Fees Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_AdministrationFeesPayable" xml:lang="en-US">Administration Fees Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AdministrationFeesPayable" xlink:to="lab_bxpe_AdministrationFeesPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AdministrationFeesPayable" xml:lang="en-US">Administration fees payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xlink:label="loc_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xml:lang="en-US">Other Accrued Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xml:lang="en-US">Accrued Performance Participation Allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xlink:to="lab_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ManagementFeePayable" xlink:label="loc_us-gaap_ManagementFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ManagementFeePayable" xml:lang="en-US">Management Fee Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ManagementFeePayable" xml:lang="en-US">Management Fee&#160;Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementFeePayable" xlink:to="lab_us-gaap_ManagementFeePayable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" xml:lang="en-US">Deferred Income Tax Liabilities, Net</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" xml:lang="en-US">Deferred Tax Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:to="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCredit" xlink:label="loc_us-gaap_LineOfCredit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCredit" xml:lang="en-US">Long-Term Line of Credit</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCredit" xml:lang="en-US">Credit Facilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCredit" xlink:to="lab_us-gaap_LineOfCredit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeLiabilities" xlink:label="loc_us-gaap_DerivativeLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeLiabilities" xml:lang="en-US">Derivative Liability</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeLiabilities" xml:lang="en-US">Derivative Liabilities at Fair Value (Cost $- as of September&#160;30, 2025 and December&#160;31, 2024)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_DerivativeLiabilities" xml:lang="en-US">Derivative Liabilities, Fair Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeLiabilities" xlink:to="lab_us-gaap_DerivativeLiabilities" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_Redemptionspayable" xlink:label="loc_bxpe_Redemptionspayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_Redemptionspayable" xml:lang="en-US">Redemptions Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_Redemptionspayable" xlink:to="lab_bxpe_Redemptionspayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_Redemptionspayable" xml:lang="en-US">Redemptions&#160;payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommitmentsAndContingencies" xlink:label="loc_us-gaap_CommitmentsAndContingencies" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CommitmentsAndContingencies" xml:lang="en-US">Commitments and Contingencies</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CommitmentsAndContingencies" xml:lang="en-US">Commitments and Contingencies</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommitmentsAndContingencies" xlink:to="lab_us-gaap_CommitmentsAndContingencies" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_NetAssetsAbstract" xlink:label="loc_bxpe_NetAssetsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_NetAssetsAbstract" xml:lang="en-US">Net Assets [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_NetAssetsAbstract" xml:lang="en-US">Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_NetAssetsAbstract" xlink:to="lab_bxpe_NetAssetsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedPartnersCapitalAccount" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccount" xml:lang="en-US">Limited Partners' Capital Account</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccount" xml:lang="en-US">Limited Partnership Unit</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccount" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccount" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GeneralPartnersShareOfUndistributedEarningsIncentiveDistributionRightEmbeddedInGeneralPartnerInterest" xlink:label="loc_us-gaap_GeneralPartnersShareOfUndistributedEarningsIncentiveDistributionRightEmbeddedInGeneralPartnerInterest" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_GeneralPartnersShareOfUndistributedEarningsIncentiveDistributionRightEmbeddedInGeneralPartnerInterest" xml:lang="en-US">General Partner's Share of Undistributed Earnings, Incentive Distribution Right Embedded in General Partner Interest</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_GeneralPartnersShareOfUndistributedEarningsIncentiveDistributionRightEmbeddedInGeneralPartnerInterest" xml:lang="en-US">General Partner Interest</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GeneralPartnersShareOfUndistributedEarningsIncentiveDistributionRightEmbeddedInGeneralPartnerInterest" xlink:to="lab_us-gaap_GeneralPartnersShareOfUndistributedEarningsIncentiveDistributionRightEmbeddedInGeneralPartnerInterest" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesAndStockholdersEquity" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquity" xml:lang="en-US">Liabilities and Equity</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquity" xml:lang="en-US">Total Liabilities and Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity" xlink:to="lab_us-gaap_LiabilitiesAndStockholdersEquity" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GeneralPartnersCapitalAccount" xlink:label="loc_us-gaap_GeneralPartnersCapitalAccount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_GeneralPartnersCapitalAccount" xml:lang="en-US">General Partners' Capital Account</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_GeneralPartnersCapitalAccount" xml:lang="en-US">Total Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GeneralPartnersCapitalAccount" xlink:to="lab_us-gaap_GeneralPartnersCapitalAccount" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CapitalUnitsByClassAxis" xlink:label="loc_us-gaap_CapitalUnitsByClassAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CapitalUnitsByClassAxis" xml:lang="en-US">Capital Units by Class [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CapitalUnitsByClassAxis" xlink:to="lab_us-gaap_CapitalUnitsByClassAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CapitalUnitClassDomain" xlink:label="loc_us-gaap_CapitalUnitClassDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CapitalUnitClassDomain" xml:lang="en-US">Capital Unit, Class [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CapitalUnitClassDomain" xlink:to="lab_us-gaap_CapitalUnitClassDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CapitalUnitClassAMember" xlink:label="loc_us-gaap_CapitalUnitClassAMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CapitalUnitClassAMember" xml:lang="en-US">Capital Unit, Class A [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CapitalUnitClassAMember" xml:lang="en-US">Capital Unit, Class A [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CapitalUnitClassAMember" xlink:to="lab_us-gaap_CapitalUnitClassAMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CapitalUnitClassBMember" xlink:label="loc_us-gaap_CapitalUnitClassBMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CapitalUnitClassBMember" xml:lang="en-US">Capital Unit, Class B [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CapitalUnitClassBMember" xml:lang="en-US">Capital Unit, Class B [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CapitalUnitClassBMember" xlink:to="lab_us-gaap_CapitalUnitClassBMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_BXPEUSAggregatorCYMLPMember" xlink:label="loc_bxpe_BXPEUSAggregatorCYMLPMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_BXPEUSAggregatorCYMLPMember" xml:lang="en-US">BXPE US Aggregator CYM L P [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_BXPEUSAggregatorCYMLPMember" xml:lang="en-US">BXPE US Aggregator (CYM) L.P [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_BXPEUSAggregatorCYMLPMember" xlink:to="lab_bxpe_BXPEUSAggregatorCYMLPMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xml:lang="en-US">Limited Partners' Capital Account, Units Issued</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xml:lang="en-US">Units issued</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xml:lang="en-US">Limited Partners' Capital Account, Units Outstanding</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xml:lang="en-US">Units outstanding</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" xml:lang="en-US">Limited Partners' Capital Account, Description of Units</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" xml:lang="en-US">Units authorized</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedAtCost" xlink:label="loc_us-gaap_InvestmentOwnedAtCost" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentOwnedAtCost" xml:lang="en-US">Investment Owned, Cost</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentOwnedAtCost" xml:lang="en-US">Investment owned, cost</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentOwnedAtCost" xml:lang="en-US">Investment Owned, Cost</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedAtCost" xlink:to="lab_us-gaap_InvestmentOwnedAtCost" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DerivativeLiabilityAtCost" xlink:label="loc_bxpe_DerivativeLiabilityAtCost" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DerivativeLiabilityAtCost" xml:lang="en-US">Derivative Liability At Cost</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DerivativeLiabilityAtCost" xml:lang="en-US">Derivative liability at cost</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DerivativeLiabilityAtCost" xlink:to="lab_bxpe_DerivativeLiabilityAtCost" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DerivativeLiabilityAtCost" xml:lang="en-US">Derivative liability at cost.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DerivativeAssetAtCost" xlink:label="loc_bxpe_DerivativeAssetAtCost" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DerivativeAssetAtCost" xml:lang="en-US">Derivative Asset At Cost</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DerivativeAssetAtCost" xml:lang="en-US">Derivative asset at cost</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DerivativeAssetAtCost" xlink:to="lab_bxpe_DerivativeAssetAtCost" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DerivativeAssetAtCost" xml:lang="en-US">Derivative asset at cost.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIssuerAffiliationAxis" xlink:label="loc_us-gaap_InvestmentIssuerAffiliationAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationAxis" xml:lang="en-US">Investment, Issuer Affiliation [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIssuerAffiliationAxis" xlink:to="lab_us-gaap_InvestmentIssuerAffiliationAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIssuerAffiliationDomain" xlink:label="loc_us-gaap_InvestmentIssuerAffiliationDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationDomain" xml:lang="en-US">Investment, Issuer Affiliation [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIssuerAffiliationDomain" xlink:to="lab_us-gaap_InvestmentIssuerAffiliationDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentAffiliatedIssuerMember" xlink:label="loc_us-gaap_InvestmentAffiliatedIssuerMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerMember" xml:lang="en-US">Investment, Affiliated Issuer [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerMember" xml:lang="en-US">Investment, Affiliated Issuer [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentAffiliatedIssuerMember" xlink:to="lab_us-gaap_InvestmentAffiliatedIssuerMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeStatementAbstract" xlink:label="loc_us-gaap_IncomeStatementAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeStatementAbstract" xml:lang="en-US">Income Statement [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeStatementAbstract" xlink:to="lab_us-gaap_IncomeStatementAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingExpensesAbstract" xlink:label="loc_us-gaap_OperatingExpensesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OperatingExpensesAbstract" xml:lang="en-US">Operating Expenses [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_OperatingExpensesAbstract" xml:lang="en-US">Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingExpensesAbstract" xlink:to="lab_us-gaap_OperatingExpensesAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProfessionalFees" xlink:label="loc_us-gaap_ProfessionalFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ProfessionalFees" xml:lang="en-US">Professional Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ProfessionalFees" xml:lang="en-US">Professional Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProfessionalFees" xlink:to="lab_us-gaap_ProfessionalFees" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NoninterestExpenseDirectorsFees" xlink:label="loc_us-gaap_NoninterestExpenseDirectorsFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NoninterestExpenseDirectorsFees" xml:lang="en-US">Noninterest Expense Directors Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_NoninterestExpenseDirectorsFees" xml:lang="en-US">Directors' Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NoninterestExpenseDirectorsFees" xlink:to="lab_us-gaap_NoninterestExpenseDirectorsFees" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_WarehousingFees" xlink:label="loc_bxpe_WarehousingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_WarehousingFees" xml:lang="en-US">Warehousing Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_WarehousingFees" xml:lang="en-US">Warehousing Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_WarehousingFees" xlink:to="lab_bxpe_WarehousingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_WarehousingFees" xml:lang="en-US">Warehousing fees.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherExpenses" xlink:label="loc_us-gaap_OtherExpenses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherExpenses" xml:lang="en-US">Other Expenses</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OtherExpenses" xml:lang="en-US">Other</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherExpenses" xlink:to="lab_us-gaap_OtherExpenses" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ManagementFeeExpense" xlink:label="loc_us-gaap_ManagementFeeExpense" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ManagementFeeExpense" xml:lang="en-US">Management Fee Expense</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_ManagementFeeExpense" xml:lang="en-US">Management Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementFeeExpense" xlink:to="lab_us-gaap_ManagementFeeExpense" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OrganizationalCostExpense" xlink:label="loc_us-gaap_OrganizationalCostExpense" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OrganizationalCostExpense" xml:lang="en-US">Organizational Cost, Expense</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OrganizationalCostExpense" xml:lang="en-US">Organizational Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OrganizationalCostExpense" xlink:to="lab_us-gaap_OrganizationalCostExpense" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LaborAndRelatedExpense" xlink:label="loc_us-gaap_LaborAndRelatedExpense" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LaborAndRelatedExpense" xml:lang="en-US">Labor and Related Expense</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LaborAndRelatedExpense" xml:lang="en-US">Performance Participation Allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LaborAndRelatedExpense" xlink:to="lab_us-gaap_LaborAndRelatedExpense" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DeferredOfferingCostsAmortization" xlink:label="loc_bxpe_DeferredOfferingCostsAmortization" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DeferredOfferingCostsAmortization" xml:lang="en-US">Deferred Offering Costs Amortization</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxpe_DeferredOfferingCostsAmortization" xml:lang="en-US">Deferred Offering Costs Amortization</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DeferredOfferingCostsAmortization" xlink:to="lab_bxpe_DeferredOfferingCostsAmortization" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DeferredOfferingCostsAmortization" xml:lang="en-US">Deferred offering costs amortization.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GeneralAndAdministrativeExpense" xlink:label="loc_us-gaap_GeneralAndAdministrativeExpense" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_GeneralAndAdministrativeExpense" xml:lang="en-US">General and Administrative Expense</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_GeneralAndAdministrativeExpense" xml:lang="en-US">Administration Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GeneralAndAdministrativeExpense" xlink:to="lab_us-gaap_GeneralAndAdministrativeExpense" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_OtherExpensesAndLosses" xlink:label="loc_bxpe_OtherExpensesAndLosses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_OtherExpensesAndLosses" xml:lang="en-US">Other Expenses and Losses</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_OtherExpensesAndLosses" xml:lang="en-US">Other</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_OtherExpensesAndLosses" xlink:to="lab_bxpe_OtherExpensesAndLosses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_OtherExpensesAndLosses" xml:lang="en-US">Other expenses and losses.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DeferredFinancingCostAmortization" xlink:label="loc_bxpe_DeferredFinancingCostAmortization" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DeferredFinancingCostAmortization" xml:lang="en-US">Deferred Financing Cost Amortization</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DeferredFinancingCostAmortization" xml:lang="en-US">Deferred Financing Cost Amortization</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DeferredFinancingCostAmortization" xlink:to="lab_bxpe_DeferredFinancingCostAmortization" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DeferredFinancingCostAmortization" xml:lang="en-US">Deferred financing cost amortization.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestExpenseOperating" xlink:label="loc_us-gaap_InterestExpenseOperating" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InterestExpenseOperating" xml:lang="en-US">Interest Expense, Operating</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InterestExpenseOperating" xml:lang="en-US">Interest Expense</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestExpenseOperating" xlink:to="lab_us-gaap_InterestExpenseOperating" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeInvestmentExpense" xlink:label="loc_us-gaap_InvestmentIncomeInvestmentExpense" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIncomeInvestmentExpense" xml:lang="en-US">Investment Income, Investment Expense</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_InvestmentIncomeInvestmentExpense" xml:lang="en-US">Total Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeInvestmentExpense" xlink:to="lab_us-gaap_InvestmentIncomeInvestmentExpense" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeNetAbstract" xlink:label="loc_us-gaap_InvestmentIncomeNetAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIncomeNetAbstract" xml:lang="en-US">Investment Income, Net [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeNetAbstract" xlink:to="lab_us-gaap_InvestmentIncomeNetAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeInterest" xlink:label="loc_us-gaap_InvestmentIncomeInterest" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIncomeInterest" xml:lang="en-US">Investment Income, Interest</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentIncomeInterest" xml:lang="en-US">Interest Income</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeInterest" xlink:to="lab_us-gaap_InvestmentIncomeInterest" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherIncome" xlink:label="loc_us-gaap_OtherIncome" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherIncome" xml:lang="en-US">Other Income</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DividendIncomeOperating" xml:lang="en-US">Dividend Income</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendIncomeOperating" xlink:to="lab_us-gaap_DividendIncomeOperating" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ExpenseSupport" xml:lang="en-US">Expense Support</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxpe_ExpenseSupport" xml:lang="en-US">Expense Support</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ExpenseSupport" xlink:to="lab_bxpe_ExpenseSupport" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ExpenseSupport" xml:lang="en-US">Expense support.</link:label>
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" xlink:to="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_RealizedInvestmentGainsLosses" xml:lang="en-US">Net Realized Gain (Loss) on Investments and Derivative Instruments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_RealizedInvestmentGainsLosses" xml:lang="en-US">Net Realized Loss on Investments and Derivative Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedInvestmentGainsLosses" xlink:to="lab_us-gaap_RealizedInvestmentGainsLosses" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_NetIncomeLoss" xml:lang="en-US">Net Increase in Net Assets Resulting from Operations</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetIncomeLoss" xlink:to="lab_us-gaap_NetIncomeLoss" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_UnrealizedGainLossOnInvestments" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Investments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_UnrealizedGainLossOnInvestments" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossOnInvestments" xlink:to="lab_us-gaap_UnrealizedGainLossOnInvestments" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Translation of Assets and Liabilities in Foreign Currencies</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Translation of Assets and Liabilities in Foreign Currencies</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrency" xml:lang="en-US">Gain (Loss), Investment and Derivative, Operating, and Foreign Currency Transaction, before Tax, Total</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrency" xml:lang="en-US">Net Realized and Unrealized Gain (Loss) on Investments, Derivative Instruments and Translation of Assets and Liabilities in Foreign Currencies</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivatives" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Derivative Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossOnDerivatives" xlink:to="lab_us-gaap_UnrealizedGainLossOnDerivatives" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" xml:lang="en-US">Stock Issued During Period, Value, New Issues</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" xml:lang="en-US">Proceeds from Units Issued</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:to="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ServicingFees" xlink:label="loc_bxpe_ServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ServicingFees" xml:lang="en-US">Servicing Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxpe_ServicingFees" xml:lang="en-US">Servicing Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ServicingFees" xlink:to="lab_bxpe_ServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ServicingFees" xml:lang="en-US">Servicing fees.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xml:lang="en-US">Stock Issued During Period, Value, Conversion of Units</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xml:lang="en-US">Conversion of Units Between Classes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:to="lab_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:label="loc_us-gaap_StockRedeemedOrCalledDuringPeriodValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xml:lang="en-US">Stock Redeemed or Called During Period, Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xml:lang="en-US">Redemption of Units, Net of Early Redemption Deduction</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xml:lang="en-US">Stock Redeemed Or Called During Period Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:to="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_GeneralPartnerInterestMember" xlink:label="loc_bxpe_GeneralPartnerInterestMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_GeneralPartnerInterestMember" xml:lang="en-US">General Partner Interest [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_GeneralPartnerInterestMember" xml:lang="en-US">General Partner Interest [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_GeneralPartnerInterestMember" xlink:to="lab_bxpe_GeneralPartnerInterestMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_GeneralPartnerInterestMember" xml:lang="en-US">General partner interest.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ClassAUnitsMember" xlink:label="loc_bxpe_ClassAUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ClassAUnitsMember" xml:lang="en-US">Class A Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ClassAUnitsMember" xml:lang="en-US">Class A Units [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ClassAUnitsMember" xlink:to="lab_bxpe_ClassAUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ClassAUnitsMember" xml:lang="en-US">Class A units.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ClassBUnitsMember" xlink:label="loc_bxpe_ClassBUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ClassBUnitsMember" xml:lang="en-US">Class B Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ClassBUnitsMember" xml:lang="en-US">Class B Units [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ClassBUnitsMember" xlink:to="lab_bxpe_ClassBUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ClassBUnitsMember" xml:lang="en-US">Class B Units.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementOfCashFlowsAbstract" xlink:label="loc_us-gaap_StatementOfCashFlowsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StatementOfCashFlowsAbstract" xml:lang="en-US">Statement of Cash Flows [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract" xlink:to="lab_us-gaap_StatementOfCashFlowsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xml:lang="en-US">Net Cash Provided by (Used in) Operating Activities [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xml:lang="en-US">Operating Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:label="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xml:lang="en-US">Adjustments to Reconcile Net Income (Loss) to Cash Provided by (Used in) Operating Activities [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xml:lang="en-US">Adjustments to Reconcile Net Increase in Net Assets Resulting from Operations to Net Cash Used in Operating Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:label="loc_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xml:lang="en-US">Realized Gain (Loss), Investment and Derivative, Operating, after Tax</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xml:lang="en-US">Net Realized Loss on Investments and Derivative Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:to="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherNoncashExpense" xlink:label="loc_us-gaap_OtherNoncashExpense" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherNoncashExpense" xml:lang="en-US">Other Noncash Expense</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_OtherNoncashExpense" xml:lang="en-US">Non-Cash Directors' Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherNoncashExpense" xlink:to="lab_us-gaap_OtherNoncashExpense" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:label="loc_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xml:lang="en-US">Payment for Purchase, Investment, Operating Activity</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xml:lang="en-US">Purchases of Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:to="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:label="loc_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xml:lang="en-US">Proceeds from Disposition of Investment, Operating Activity</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xml:lang="en-US">Proceeds from Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:to="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:label="loc_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xml:lang="en-US">Unrealized Gain (Loss), Investment and Derivative, Operating, after Tax</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xml:lang="en-US">Net Change in Unrealized (Gain) Loss on Investment in the Aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:to="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xml:lang="en-US">Unrealized Gain (Loss), Foreign Currency Transaction, after Tax</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xml:lang="en-US">Net Change in Unrealized (Gain) Loss on Translation of Assets and Liabilities in Foreign Currencies</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xlink:to="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:label="loc_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xml:lang="en-US">Accretion (Amortization) of Discounts and Premiums, Investments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xml:lang="en-US">Net Amortization of Debt Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:to="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherAmortizationOfDeferredCharges" xlink:label="loc_us-gaap_OtherAmortizationOfDeferredCharges" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherAmortizationOfDeferredCharges" xml:lang="en-US">Amortization of Other Deferred Charges</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OtherAmortizationOfDeferredCharges" xml:lang="en-US">Deferred Costs Amortization</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherAmortizationOfDeferredCharges" xlink:to="lab_us-gaap_OtherAmortizationOfDeferredCharges" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xlink:label="loc_bxpe_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xml:lang="en-US">Increase Decrease In Unrealized Gain Loss On Derivative Instruments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxpe_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xml:lang="en-US">Net Change in Unrealized (Gain) Loss on Derivative Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xlink:to="lab_bxpe_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xml:lang="en-US">Increase decrease in unrealized gain loss on derivative instruments.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentInBxpeUsAggregator" xlink:label="loc_bxpe_InvestmentInBxpeUsAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentInBxpeUsAggregator" xml:lang="en-US">Investment In Bxpe US Aggregator</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_bxpe_InvestmentInBxpeUsAggregator" xml:lang="en-US">Investment in BXPE U.S.</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentInBxpeUsAggregator" xlink:to="lab_bxpe_InvestmentInBxpeUsAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentInBxpeUsAggregator" xml:lang="en-US">Investment in bxpe US aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:label="loc_us-gaap_EquityMethodInvestmentDividendsOrDistributions" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xml:lang="en-US">Proceeds from Equity Method Investment, Distribution</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xml:lang="en-US">Proceeds from Investment in the Aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:to="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentInTheAggregator" xlink:label="loc_bxpe_InvestmentInTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentInTheAggregator" xml:lang="en-US">Investment In The Aggregator</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_InvestmentInTheAggregator" xml:lang="en-US">Investment in the Aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentInTheAggregator" xlink:to="lab_bxpe_InvestmentInTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentInTheAggregator" xml:lang="en-US">Investment in the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:label="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xml:lang="en-US">Increase (Decrease) in Operating Capital [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xml:lang="en-US">Cash Flows Due to Changes in Operating Assets and Liabilities Due from Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:to="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xml:lang="en-US">Increase (Decrease) in Other Accounts Payable and Accrued Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xml:lang="en-US">Accounts Payable, Accrued Expenses and Other Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOtherOperatingLiabilities" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities" xml:lang="en-US">Increase (Decrease) in Other Operating Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities" xml:lang="en-US">Due to Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInDeferredCharges" xlink:label="loc_us-gaap_IncreaseDecreaseInDeferredCharges" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredCharges" xml:lang="en-US">Increase (Decrease) in Deferred Charges</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredCharges" xml:lang="en-US">Deferred Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInDeferredCharges" xlink:to="lab_us-gaap_IncreaseDecreaseInDeferredCharges" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:label="loc_us-gaap_IncreaseDecreaseInDueToAffiliates" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" xml:lang="en-US">Increase (Decrease) in Due to Affiliates</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" xml:lang="en-US">Due to Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:to="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xml:lang="en-US">Increase (Decrease) in Accounts Payable and Accrued Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xml:lang="en-US">Accounts Payable and Accrued Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:label="loc_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xml:lang="en-US">Increase (Decrease) in Payable for Investment Purchased</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xml:lang="en-US">Payable for Investments Purchased</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:to="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccruedTaxesPayable" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedTaxesPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedTaxesPayable" xml:lang="en-US">Increase (Decrease) in Accrued Taxes Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedTaxesPayable" xml:lang="en-US">Taxes Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccruedTaxesPayable" xlink:to="lab_us-gaap_IncreaseDecreaseInAccruedTaxesPayable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:label="loc_us-gaap_IncreaseDecreaseInManagementFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" xml:lang="en-US">Increase (Decrease) in Management Fee Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" xml:lang="en-US">Administration Fees Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:to="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xlink:label="loc_bxpe_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xml:lang="en-US">Increase Decrease In Accrued Performance Participation Allocation</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xml:lang="en-US">Accrued Performance Participation Allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xlink:to="lab_bxpe_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xml:lang="en-US">Increase decrease in accrued performance participation allocation.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInManagementAndIncentiveFeesPayable" xlink:label="loc_us-gaap_IncreaseDecreaseInManagementAndIncentiveFeesPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInManagementAndIncentiveFeesPayable" xml:lang="en-US">Increase (Decrease) in Management and Incentive Fees Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInManagementAndIncentiveFeesPayable" xml:lang="en-US">Management Fee Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInManagementAndIncentiveFeesPayable" xlink:to="lab_us-gaap_IncreaseDecreaseInManagementAndIncentiveFeesPayable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOtherRegulatoryAssets" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherRegulatoryAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherRegulatoryAssets" xml:lang="en-US">Increase (Decrease) in Other Regulatory Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherRegulatoryAssets" xml:lang="en-US">Other Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOtherRegulatoryAssets" xlink:to="lab_us-gaap_IncreaseDecreaseInOtherRegulatoryAssets" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInDeferredLiabilities" xlink:label="loc_us-gaap_IncreaseDecreaseInDeferredLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities" xml:lang="en-US">Increase (Decrease) in Deferred Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities" xml:lang="en-US">Deferred Tax Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInDeferredLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:label="loc_us-gaap_IncreaseDecreaseDueFromAffiliates" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" xml:lang="en-US">Increase (Decrease) Due from Affiliates</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" xml:lang="en-US">Due from Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:to="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_IncreaseDecreaseInInterestAndDividendReceivableAndOtherAssets" xlink:label="loc_bxpe_IncreaseDecreaseInInterestAndDividendReceivableAndOtherAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_IncreaseDecreaseInInterestAndDividendReceivableAndOtherAssets" xml:lang="en-US">Increase Decrease In Interest And Dividend Receivable And Other Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxpe_IncreaseDecreaseInInterestAndDividendReceivableAndOtherAssets" xml:lang="en-US">Interest and Dividend Receivable and Other Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_IncreaseDecreaseInInterestAndDividendReceivableAndOtherAssets" xlink:to="lab_bxpe_IncreaseDecreaseInInterestAndDividendReceivableAndOtherAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_IncreaseDecreaseInInterestAndDividendReceivableAndOtherAssets" xml:lang="en-US">Increase decrease in interest and dividend receivable and other assets.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_IncreaseDecreaseInDeferredTaxAssets" xlink:label="loc_bxpe_IncreaseDecreaseInDeferredTaxAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_IncreaseDecreaseInDeferredTaxAssets" xml:lang="en-US">Increase Decrease In Deferred Tax Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxpe_IncreaseDecreaseInDeferredTaxAssets" xml:lang="en-US">Deferred Tax Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_IncreaseDecreaseInDeferredTaxAssets" xlink:to="lab_bxpe_IncreaseDecreaseInDeferredTaxAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_IncreaseDecreaseInDeferredTaxAssets" xml:lang="en-US">Increase decrease in deferred tax assets.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" xml:lang="en-US">Net Cash Provided by (Used in) Operating Activities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" xml:lang="en-US">Net Cash Used in Operating Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:to="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xml:lang="en-US">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xml:lang="en-US">Financing Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xml:lang="en-US">Proceeds from Issuance of Common Limited Partners Units</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xml:lang="en-US">Proceeds from Issuance of Units</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" xml:lang="en-US">Net Cash Provided by (Used in) Financing Activities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" xml:lang="en-US">Net Cash Provided by Financing Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:to="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PaymentForServicingFees" xlink:label="loc_bxpe_PaymentForServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PaymentForServicingFees" xml:lang="en-US">Payment For Servicing Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxpe_PaymentForServicingFees" xml:lang="en-US">Payment for Servicing Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PaymentForServicingFees" xlink:to="lab_bxpe_PaymentForServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PaymentForServicingFees" xml:lang="en-US">Payment for servicing fees.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromLinesOfCredit" xlink:label="loc_us-gaap_ProceedsFromLinesOfCredit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ProceedsFromLinesOfCredit" xml:lang="en-US">Proceeds from Lines of Credit</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ProceedsFromLinesOfCredit" xml:lang="en-US">Proceeds from Credit Facilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromLinesOfCredit" xlink:to="lab_us-gaap_ProceedsFromLinesOfCredit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RepaymentsOfLinesOfCredit" xlink:label="loc_us-gaap_RepaymentsOfLinesOfCredit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RepaymentsOfLinesOfCredit" xml:lang="en-US">Repayments of Lines of Credit</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_RepaymentsOfLinesOfCredit" xml:lang="en-US">Repayment of Credit Facilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RepaymentsOfLinesOfCredit" xlink:to="lab_us-gaap_RepaymentsOfLinesOfCredit" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PaymentForDeductionReceivedFromTheFeeder" xlink:label="loc_bxpe_PaymentForDeductionReceivedFromTheFeeder" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PaymentForDeductionReceivedFromTheFeeder" xml:lang="en-US">Payment For Deduction Received From The Feeder</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxpe_PaymentForDeductionReceivedFromTheFeeder" xml:lang="en-US">Early Redemption Deduction Received from the Feeder</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PaymentForDeductionReceivedFromTheFeeder" xlink:to="lab_bxpe_PaymentForDeductionReceivedFromTheFeeder" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PaymentForDeductionReceivedFromTheFeeder" xml:lang="en-US">Payment for deduction received from the feeder.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PaymentForDeductionReceivedFromBXPEUS" xlink:label="loc_bxpe_PaymentForDeductionReceivedFromBXPEUS" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PaymentForDeductionReceivedFromBXPEUS" xml:lang="en-US">Payment For Deduction Received From BXPE US</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxpe_PaymentForDeductionReceivedFromBXPEUS" xml:lang="en-US">Early Repurchase Deduction</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PaymentForDeductionReceivedFromBXPEUS" xlink:to="lab_bxpe_PaymentForDeductionReceivedFromBXPEUS" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PaymentForDeductionReceivedFromBXPEUS" xml:lang="en-US">Payment for deduction received from BXPE US.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivities" xlink:label="loc_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivities" xml:lang="en-US">Redemption Of Units Net Of Early Redemption Deduction On Financing Activities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivities" xml:lang="en-US">Redemption of Units</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivities" xlink:to="lab_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivities" xml:lang="en-US">Redemption of units net of early redemption deduction on financing activities.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementalCashFlowElementsAbstract" xlink:label="loc_us-gaap_SupplementalCashFlowElementsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SupplementalCashFlowElementsAbstract" xml:lang="en-US">Supplemental Cash Flow Elements [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_SupplementalCashFlowElementsAbstract" xml:lang="en-US">Supplemental Disclosure of Non-Cash Financing Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SupplementalCashFlowElementsAbstract" xlink:to="lab_us-gaap_SupplementalCashFlowElementsAbstract" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_NonCashDirectorsFees" xlink:label="loc_bxpe_NonCashDirectorsFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_NonCashDirectorsFees" xml:lang="en-US">Non Cash Directors Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxpe_NonCashDirectorsFees" xml:lang="en-US">Non-cash Directors' Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_NonCashDirectorsFees" xlink:to="lab_bxpe_NonCashDirectorsFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_NonCashDirectorsFees" xml:lang="en-US">Non-cash directors fees.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AccruedServicingFees" xlink:label="loc_bxpe_AccruedServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AccruedServicingFees" xml:lang="en-US">Accrued Servicing Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxpe_AccruedServicingFees" xml:lang="en-US">Accrued Servicing Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AccruedServicingFees" xlink:to="lab_bxpe_AccruedServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AccruedServicingFees" xml:lang="en-US">Accrued Servicing Fees.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_RedemptionDeductionPaybleToBXPEUS" xlink:label="loc_bxpe_RedemptionDeductionPaybleToBXPEUS" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_RedemptionDeductionPaybleToBXPEUS" xml:lang="en-US">Redemption Deduction PaybleTo BXPEUS</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxpe_RedemptionDeductionPaybleToBXPEUS" xml:lang="en-US">Early Redemption Deduction Payable to BXPE U.S.</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_RedemptionDeductionPaybleToBXPEUS" xlink:to="lab_bxpe_RedemptionDeductionPaybleToBXPEUS" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_RedemptionDeductionPaybleToBXPEUS" xml:lang="en-US">Redemption deduction paybleto bxpeus.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivitiesOnNonCashInvestingAndFinancingActivities" xlink:label="loc_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivitiesOnNonCashInvestingAndFinancingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivitiesOnNonCashInvestingAndFinancingActivities" xml:lang="en-US">Redemption Of Units Net Of Early Redemption Deduction On Financing Activities On Non cash Investing And Financing Activities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivitiesOnNonCashInvestingAndFinancingActivities" xml:lang="en-US">Redemption of Units, Net of Early Redemption Deduction</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivitiesOnNonCashInvestingAndFinancingActivities" xlink:to="lab_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivitiesOnNonCashInvestingAndFinancingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivitiesOnNonCashInvestingAndFinancingActivities" xml:lang="en-US">Redemption of units net of early redemption deduction on financing activities on non cash investing and financing activities.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_RedemptionDeductionReceivableFromBlackstonePrivateEquityStrategiesFund" xlink:label="loc_bxpe_RedemptionDeductionReceivableFromBlackstonePrivateEquityStrategiesFund" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_RedemptionDeductionReceivableFromBlackstonePrivateEquityStrategiesFund" xml:lang="en-US">Redemption Deduction Receivable From Blackstone Private Equity Strategies Fund</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_RedemptionDeductionReceivableFromBlackstonePrivateEquityStrategiesFund" xml:lang="en-US">Early Redemption Deduction Receivable from the Feeder</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_RedemptionDeductionReceivableFromBlackstonePrivateEquityStrategiesFund" xlink:to="lab_bxpe_RedemptionDeductionReceivableFromBlackstonePrivateEquityStrategiesFund" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_RedemptionDeductionReceivableFromBlackstonePrivateEquityStrategiesFund" xml:lang="en-US">Redemption deduction receivable from blackstone private equity strategies fund.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_RedemptionofUnitsOnNonCashFinancingActivities" xlink:label="loc_bxpe_RedemptionofUnitsOnNonCashFinancingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_RedemptionofUnitsOnNonCashFinancingActivities" xml:lang="en-US">Redemption Of Units On Non Cash Financing Activities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_RedemptionofUnitsOnNonCashFinancingActivities" xml:lang="en-US">Redemption of Units on Non Cash Financing Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_RedemptionofUnitsOnNonCashFinancingActivities" xlink:to="lab_bxpe_RedemptionofUnitsOnNonCashFinancingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_RedemptionofUnitsOnNonCashFinancingActivities" xml:lang="en-US">Redemption&#160;of units on non cash financing activities.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsAbstract" xlink:label="loc_us-gaap_CashAndCashEquivalentsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashAndCashEquivalentsAbstract" xml:lang="en-US">Cash and Cash Equivalents [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_CashAndCashEquivalentsAbstract" xml:lang="en-US">Cash and Cash Equivalents</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsAbstract" xlink:to="lab_us-gaap_CashAndCashEquivalentsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xml:lang="en-US">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Period Increase (Decrease), Excluding Exchange Rate Effect</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xml:lang="en-US">Net Increase</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xlink:to="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xml:lang="en-US">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xml:lang="en-US">Beginning of Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xml:lang="en-US">End of Period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:to="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementalCashFlowInformationAbstract" xlink:label="loc_us-gaap_SupplementalCashFlowInformationAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SupplementalCashFlowInformationAbstract" xml:lang="en-US">Supplemental Cash Flow Information [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_SupplementalCashFlowInformationAbstract" xml:lang="en-US">Supplemental Disclosure of Cash Flows Information</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SupplementalCashFlowInformationAbstract" xlink:to="lab_us-gaap_SupplementalCashFlowInformationAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestPaidNet" xlink:label="loc_us-gaap_InterestPaidNet" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InterestPaidNet" xml:lang="en-US">Interest Paid, Excluding Capitalized Interest, Operating Activities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InterestPaidNet" xml:lang="en-US">Cash Paid for Interest</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestPaidNet" xlink:to="lab_us-gaap_InterestPaidNet" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxesPaid" xlink:label="loc_us-gaap_IncomeTaxesPaid" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxesPaid" xml:lang="en-US">Income Taxes Paid</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncomeTaxesPaid" xml:lang="en-US">Cash Paid for Income Taxes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxesPaid" xlink:to="lab_us-gaap_IncomeTaxesPaid" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfInvestmentsAbstract" xlink:label="loc_us-gaap_ScheduleOfInvestmentsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfInvestmentsAbstract" xml:lang="en-US">Schedule of Investments [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentsAbstract" xlink:to="lab_us-gaap_ScheduleOfInvestmentsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SummaryOfInvestmentHoldingsTable" xlink:label="loc_us-gaap_SummaryOfInvestmentHoldingsTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SummaryOfInvestmentHoldingsTable" xml:lang="en-US">Summary of Investment Holdings [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SummaryOfInvestmentHoldingsTable" xlink:to="lab_us-gaap_SummaryOfInvestmentHoldingsTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SummaryOfInvestmentHoldingsLineItems" xlink:label="loc_us-gaap_SummaryOfInvestmentHoldingsLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SummaryOfInvestmentHoldingsLineItems" xml:lang="en-US">Summary of Investment Holdings [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SummaryOfInvestmentHoldingsLineItems" xlink:to="lab_us-gaap_SummaryOfInvestmentHoldingsLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:label="loc_us-gaap_InvestmentOwnedPercentOfNetAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xml:lang="en-US">Investment Owned, Percent of Net Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xml:lang="en-US">Fair&#160;Value as a Percentage of Net Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xml:lang="en-US">Investment owned, percent of net assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:to="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIdentifierAxis" xlink:label="loc_us-gaap_InvestmentIdentifierAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIdentifierAxis" xml:lang="en-US">Investment, Identifier [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIdentifierAxis" xlink:to="lab_us-gaap_InvestmentIdentifierAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfInvestmentsTable" xlink:label="loc_us-gaap_ScheduleOfInvestmentsTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfInvestmentsTable" xml:lang="en-US">Schedule of Investments [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentsTable" xlink:to="lab_us-gaap_ScheduleOfInvestmentsTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfInvestmentsLineItems" xlink:label="loc_us-gaap_ScheduleOfInvestmentsLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfInvestmentsLineItems" xml:lang="en-US">Schedule of Investments [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentsLineItems" xlink:to="lab_us-gaap_ScheduleOfInvestmentsLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Cash" xlink:label="loc_us-gaap_Cash" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_Cash" xml:lang="en-US">Cash</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_Cash" xml:lang="en-US">Cash</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Cash" xlink:to="lab_us-gaap_Cash" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedBalanceShares" xlink:label="loc_us-gaap_InvestmentOwnedBalanceShares" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentOwnedBalanceShares" xml:lang="en-US">Investment Owned, Balance, Shares</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentOwnedBalanceShares" xml:lang="en-US">Investment owned, balance, shares</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedBalanceShares" xlink:to="lab_us-gaap_InvestmentOwnedBalanceShares" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_RangeAxis" xlink:label="loc_srt_RangeAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_RangeAxis" xml:lang="en-US">Statistical Measurement [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RangeAxis" xlink:to="lab_srt_RangeAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_RangeMember" xlink:label="loc_srt_RangeMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_RangeMember" xml:lang="en-US">Statistical Measurement [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RangeMember" xlink:to="lab_srt_RangeMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_MaximumMember" xlink:label="loc_srt_MaximumMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_MaximumMember" xml:lang="en-US">Maximum [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_srt_MaximumMember" xml:lang="en-US">Maximum [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_MaximumMember" xlink:to="lab_srt_MaximumMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialInstrumentAxis" xlink:label="loc_us-gaap_FinancialInstrumentAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FinancialInstrumentAxis" xml:lang="en-US">Financial Instrument [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialInstrumentAxis" xlink:to="lab_us-gaap_FinancialInstrumentAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:label="loc_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xml:lang="en-US">Financial Instruments [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:to="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_StatementGeographicalAxis" xlink:label="loc_srt_StatementGeographicalAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_StatementGeographicalAxis" xml:lang="en-US">Geographical [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_StatementGeographicalAxis" xlink:to="lab_srt_StatementGeographicalAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_SegmentGeographicalDomain" xlink:label="loc_srt_SegmentGeographicalDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_SegmentGeographicalDomain" xml:lang="en-US">Geographical [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_SegmentGeographicalDomain" xlink:to="lab_srt_SegmentGeographicalDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByAssetClassAxis" xlink:label="loc_us-gaap_FairValueByAssetClassAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueByAssetClassAxis" xml:lang="en-US">Asset Class [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByAssetClassAxis" xlink:to="lab_us-gaap_FairValueByAssetClassAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xml:lang="en-US">Asset Class [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesByIndustryAxis" xlink:label="loc_us-gaap_EquitySecuritiesByIndustryAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EquitySecuritiesByIndustryAxis" xml:lang="en-US">Industry Sector [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquitySecuritiesByIndustryAxis" xlink:to="lab_us-gaap_EquitySecuritiesByIndustryAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesIndustryMember" xlink:label="loc_us-gaap_EquitySecuritiesIndustryMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EquitySecuritiesIndustryMember" xml:lang="en-US">Industry Sector [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquitySecuritiesIndustryMember" xlink:to="lab_us-gaap_EquitySecuritiesIndustryMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DebtSecurityByIndustryAxis" xlink:label="loc_bxpe_DebtSecurityByIndustryAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DebtSecurityByIndustryAxis" xml:lang="en-US">Debt Security By Industry [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DebtSecurityByIndustryAxis" xlink:to="lab_bxpe_DebtSecurityByIndustryAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DebtSecurityByIndustryAxis" xml:lang="en-US">Debt security by industry.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DebtSecurityByIndustryDomain" xlink:label="loc_bxpe_DebtSecurityByIndustryDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DebtSecurityByIndustryDomain" xml:lang="en-US">Debt Security By Industry [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DebtSecurityByIndustryDomain" xlink:to="lab_bxpe_DebtSecurityByIndustryDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DebtSecurityByIndustryDomain" xml:lang="en-US">Debt security by industry.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeAxis" xlink:label="loc_us-gaap_InvestmentTypeAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentTypeAxis" xml:lang="en-US">Investment Type [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeAxis" xlink:to="lab_us-gaap_InvestmentTypeAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember" xlink:label="loc_us-gaap_InvestmentTypeCategorizationMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentTypeCategorizationMember" xml:lang="en-US">Investments [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeCategorizationMember" xlink:to="lab_us-gaap_InvestmentTypeCategorizationMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestorAxis" xlink:label="loc_bxpe_InvestorAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestorAxis" xml:lang="en-US">Investor [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestorAxis" xlink:to="lab_bxpe_InvestorAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestorAxis" xml:lang="en-US">Investor.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestorDomain" xlink:label="loc_bxpe_InvestorDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestorDomain" xml:lang="en-US">Investor [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestorDomain" xlink:to="lab_bxpe_InvestorDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestorDomain" xml:lang="en-US">Investor.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xlink:label="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xml:lang="en-US">Organization, Consolidation and Presentation of Financial Statements [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xlink:to="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" xlink:label="loc_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" xml:lang="en-US">Collaborative Arrangement and Arrangement Other than Collaborative [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" xlink:to="lab_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" xlink:label="loc_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" xml:lang="en-US">Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" xlink:to="lab_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" xlink:label="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" xml:lang="en-US">Organization, Consolidation and Presentation of Financial Statements Disclosure [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" xml:lang="en-US">Organization</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" xlink:to="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountingPoliciesAbstract" xlink:label="loc_us-gaap_AccountingPoliciesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AccountingPoliciesAbstract" xml:lang="en-US">Accounting Policies [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccountingPoliciesAbstract" xlink:to="lab_us-gaap_AccountingPoliciesAbstract" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AccountingPoliciesTable" xlink:label="loc_bxpe_AccountingPoliciesTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AccountingPoliciesTable" xml:lang="en-US">Accounting Policies [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AccountingPoliciesTable" xlink:to="lab_bxpe_AccountingPoliciesTable" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AccountingPoliciesLineItems" xlink:label="loc_bxpe_AccountingPoliciesLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AccountingPoliciesLineItems" xml:lang="en-US">Accounting Policies [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AccountingPoliciesLineItems" xlink:to="lab_bxpe_AccountingPoliciesLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SignificantAccountingPoliciesTextBlock" xlink:label="loc_us-gaap_SignificantAccountingPoliciesTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SignificantAccountingPoliciesTextBlock" xml:lang="en-US">Significant Accounting Policies [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_SignificantAccountingPoliciesTextBlock" xml:lang="en-US">Summary of Significant Accounting Policies</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:to="lab_us-gaap_SignificantAccountingPoliciesTextBlock" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentInTheAggregatorAbstract" xlink:label="loc_bxpe_InvestmentInTheAggregatorAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentInTheAggregatorAbstract" xml:lang="en-US">Investment In The Aggregator [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentInTheAggregatorAbstract" xlink:to="lab_bxpe_InvestmentInTheAggregatorAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentInTheAggregatorAbstract" xml:lang="en-US">Investment in the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentInTheAggregatorTable" xlink:label="loc_bxpe_InvestmentInTheAggregatorTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentInTheAggregatorTable" xml:lang="en-US">Investment In The Aggregator [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentInTheAggregatorTable" xlink:to="lab_bxpe_InvestmentInTheAggregatorTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentInTheAggregatorTable" xml:lang="en-US">Investment in the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentInTheAggregatorLineItems" xlink:label="loc_bxpe_InvestmentInTheAggregatorLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentInTheAggregatorLineItems" xml:lang="en-US">Investment In The Aggregator [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentInTheAggregatorLineItems" xlink:to="lab_bxpe_InvestmentInTheAggregatorLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentInTheAggregatorLineItems" xml:lang="en-US">Investment in the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentInTheAggregatorTextBlock" xlink:label="loc_bxpe_InvestmentInTheAggregatorTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentInTheAggregatorTextBlock" xml:lang="en-US">Investment In The Aggregator [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_InvestmentInTheAggregatorTextBlock" xml:lang="en-US">Investment in the Aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentInTheAggregatorTextBlock" xlink:to="lab_bxpe_InvestmentInTheAggregatorTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentInTheAggregatorTextBlock" xml:lang="en-US">Investment in the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueDisclosuresAbstract" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueDisclosuresAbstract" xml:lang="en-US">Fair Value Disclosures [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract" xlink:to="lab_us-gaap_FairValueDisclosuresAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByBalanceSheetGroupingTable" xlink:label="loc_us-gaap_FairValueByBalanceSheetGroupingTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueByBalanceSheetGroupingTable" xml:lang="en-US">Fair Value, by Balance Sheet Grouping [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByBalanceSheetGroupingTable" xlink:to="lab_us-gaap_FairValueByBalanceSheetGroupingTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:label="loc_us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xml:lang="en-US">Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="lab_us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueDisclosuresTextBlock" xlink:label="loc_us-gaap_FairValueDisclosuresTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueDisclosuresTextBlock" xml:lang="en-US">Fair Value Disclosures [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueDisclosuresTextBlock" xml:lang="en-US">Investments and Fair Value Measurement</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosuresTextBlock" xlink:to="lab_us-gaap_FairValueDisclosuresTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtDisclosureAbstract" xlink:label="loc_us-gaap_DebtDisclosureAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtDisclosureAbstract" xml:lang="en-US">Debt Disclosure [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtDisclosureAbstract" xlink:to="lab_us-gaap_DebtDisclosureAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfShortTermDebtTable" xlink:label="loc_us-gaap_ScheduleOfShortTermDebtTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfShortTermDebtTable" xml:lang="en-US">Short-Term Debt [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfShortTermDebtTable" xlink:to="lab_us-gaap_ScheduleOfShortTermDebtTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShortTermDebtLineItems" xlink:label="loc_us-gaap_ShortTermDebtLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ShortTermDebtLineItems" xml:lang="en-US">Short-Term Debt [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ShortTermDebtLineItems" xlink:to="lab_us-gaap_ShortTermDebtLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtDisclosureTextBlock" xlink:label="loc_us-gaap_DebtDisclosureTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtDisclosureTextBlock" xml:lang="en-US">Debt Disclosure [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DebtDisclosureTextBlock" xml:lang="en-US">Line of Credit Agreement</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtDisclosureTextBlock" xlink:to="lab_us-gaap_DebtDisclosureTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosure [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:to="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeTable" xlink:label="loc_us-gaap_DerivativeTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeTable" xml:lang="en-US">Derivative [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeTable" xlink:to="lab_us-gaap_DerivativeTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeLineItems" xlink:label="loc_us-gaap_DerivativeLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeLineItems" xml:lang="en-US">Derivative [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeLineItems" xlink:to="lab_us-gaap_DerivativeLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosure [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xml:lang="en-US">Derivative Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:to="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_NetAssetAbstract" xlink:label="loc_bxpe_NetAssetAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_NetAssetAbstract" xml:lang="en-US">Net Asset [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_NetAssetAbstract" xlink:to="lab_bxpe_NetAssetAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_NetAssetAbstract" xml:lang="en-US">Net Asset.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_NetAssetTable" xlink:label="loc_bxpe_NetAssetTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_NetAssetTable" xml:lang="en-US">Net Asset [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_NetAssetTable" xlink:to="lab_bxpe_NetAssetTable" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_NetAssetLineItems" xlink:label="loc_bxpe_NetAssetLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_NetAssetLineItems" xml:lang="en-US">Net Asset [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_NetAssetLineItems" xlink:to="lab_bxpe_NetAssetLineItems" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_NetAssetTextBlock" xlink:label="loc_bxpe_NetAssetTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_NetAssetTextBlock" xml:lang="en-US">Net Asset [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_NetAssetTextBlock" xml:lang="en-US">Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_NetAssetTextBlock" xlink:to="lab_bxpe_NetAssetTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_NetAssetTextBlock" xml:lang="en-US">Net Asset.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxDisclosureAbstract" xlink:label="loc_us-gaap_IncomeTaxDisclosureAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxDisclosureAbstract" xml:lang="en-US">Income Tax Disclosure [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxDisclosureAbstract" xlink:to="lab_us-gaap_IncomeTaxDisclosureAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxExaminationTable" xlink:label="loc_us-gaap_IncomeTaxExaminationTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxExaminationTable" xml:lang="en-US">Income Tax, Examination [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxExaminationTable" xlink:to="lab_us-gaap_IncomeTaxExaminationTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxExaminationLineItems" xlink:label="loc_us-gaap_IncomeTaxExaminationLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxExaminationLineItems" xml:lang="en-US">Income Tax Examination [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxExaminationLineItems" xlink:to="lab_us-gaap_IncomeTaxExaminationLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxDisclosureTextBlock" xlink:label="loc_us-gaap_IncomeTaxDisclosureTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxDisclosureTextBlock" xml:lang="en-US">Income Tax Disclosure [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_IncomeTaxDisclosureTextBlock" xml:lang="en-US">Income Taxes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxDisclosureTextBlock" xlink:to="lab_us-gaap_IncomeTaxDisclosureTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionsAbstract" xlink:label="loc_us-gaap_RelatedPartyTransactionsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionsAbstract" xml:lang="en-US">Related Party Transactions [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsAbstract" xlink:to="lab_us-gaap_RelatedPartyTransactionsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:label="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xml:lang="en-US">Related Party Transaction [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:to="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionLineItems" xlink:label="loc_us-gaap_RelatedPartyTransactionLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionLineItems" xml:lang="en-US">Related Party Transaction [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems" xlink:to="lab_us-gaap_RelatedPartyTransactionLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:label="loc_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xml:lang="en-US">Related Party Transactions Disclosure [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xml:lang="en-US">Related Party Transactions</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:to="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xml:lang="en-US">Commitments and Contingencies Disclosure [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:to="lab_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_CommitmentsAndContingenciesDisclosureTable" xlink:label="loc_bxpe_CommitmentsAndContingenciesDisclosureTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_CommitmentsAndContingenciesDisclosureTable" xml:lang="en-US">Commitments And Contingencies Disclosure [Table]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_CommitmentsAndContingenciesDisclosureTable" xml:lang="en-US">Commitments and Contingencies Disclosure [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_CommitmentsAndContingenciesDisclosureTable" xlink:to="lab_bxpe_CommitmentsAndContingenciesDisclosureTable" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_CommitmentsAndContingenciesDisclosureLineItems" xlink:label="loc_bxpe_CommitmentsAndContingenciesDisclosureLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_CommitmentsAndContingenciesDisclosureLineItems" xml:lang="en-US">Commitments And Contingencies Disclosure [Line Items]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_CommitmentsAndContingenciesDisclosureLineItems" xml:lang="en-US">Commitments and Contingencies Disclosure [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_CommitmentsAndContingenciesDisclosureLineItems" xlink:to="lab_bxpe_CommitmentsAndContingenciesDisclosureLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xml:lang="en-US">Commitments and Contingencies</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:to="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyFinancialHighlightsAbstract" xlink:label="loc_us-gaap_InvestmentCompanyFinancialHighlightsAbstract" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsAbstract" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsAbstract" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTable" xml:lang="en-US">Investment Company, Financial Highlights [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsTable" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsTable" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsLineItems" xml:lang="en-US">Investment Company, Financial Highlights [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsLineItems" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:label="loc_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xml:lang="en-US">Investment Company, Financial Highlights [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xml:lang="en-US">Financial Highlights</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventsAbstract" xlink:label="loc_us-gaap_SubsequentEventsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SubsequentEventsAbstract" xml:lang="en-US">Subsequent Events [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventsAbstract" xlink:to="lab_us-gaap_SubsequentEventsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventTable" xlink:label="loc_us-gaap_SubsequentEventTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SubsequentEventTable" xml:lang="en-US">Subsequent Event [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTable" xlink:to="lab_us-gaap_SubsequentEventTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventLineItems" xlink:label="loc_us-gaap_SubsequentEventLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SubsequentEventLineItems" xml:lang="en-US">Subsequent Event [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventLineItems" xlink:to="lab_us-gaap_SubsequentEventLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventsTextBlock" xlink:label="loc_us-gaap_SubsequentEventsTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SubsequentEventsTextBlock" xml:lang="en-US">Subsequent Events [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_SubsequentEventsTextBlock" xml:lang="en-US">Subsequent Events</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventsTextBlock" xlink:to="lab_us-gaap_SubsequentEventsTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:label="loc_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xml:lang="en-US">Basis of Accounting, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xml:lang="en-US">Basis of Presentation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:to="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:label="loc_us-gaap_CashAndCashEquivalentsPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xml:lang="en-US">Cash and Cash Equivalents, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xml:lang="en-US">Cash and Cash Equivalents</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:to="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxPolicyTextBlock" xlink:label="loc_us-gaap_IncomeTaxPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxPolicyTextBlock" xml:lang="en-US">Income Tax, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncomeTaxPolicyTextBlock" xml:lang="en-US">Income Taxes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxPolicyTextBlock" xlink:to="lab_us-gaap_IncomeTaxPolicyTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UseOfEstimates" xlink:label="loc_us-gaap_UseOfEstimates" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_UseOfEstimates" xml:lang="en-US">Use of Estimates, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_UseOfEstimates" xml:lang="en-US">Use of Estimates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UseOfEstimates" xlink:to="lab_us-gaap_UseOfEstimates" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ConsolidationPolicyTextBlock" xlink:label="loc_us-gaap_ConsolidationPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ConsolidationPolicyTextBlock" xml:lang="en-US">Consolidation, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ConsolidationPolicyTextBlock" xml:lang="en-US">Principles of Consolidation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConsolidationPolicyTextBlock" xlink:to="lab_us-gaap_ConsolidationPolicyTextBlock" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" xml:lang="en-US">Fair Value of Financial Instruments, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" xml:lang="en-US">Valuation of Investments at Fair Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:to="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_FairValueOfFinancialInstrumentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" xml:lang="en-US">Fair Value of Financial Instruments in Affiliated Or Unaffiliated Investee Funds [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxpe_FairValueOfFinancialInstrumentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" xml:lang="en-US">Investments at Fair Value and Investments in Affiliated or Unaffiliated Investee Funds</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_FairValueOfFinancialInstrumentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" xlink:to="lab_bxpe_FairValueOfFinancialInstrumentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_FairValueOfFinancialInstrumentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" xml:lang="en-US">Fair value of financial instruments in affiliated or unaffiliated investee funds.</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ManagementAndInvestmentAdvisoryFeesPolicy" xml:lang="en-US">Management and Investment Advisory Fees, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ManagementAndInvestmentAdvisoryFeesPolicy" xml:lang="en-US">Performance Participation Allocation, Administration Fee and Management Fee Payables</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementAndInvestmentAdvisoryFeesPolicy" xlink:to="lab_us-gaap_ManagementAndInvestmentAdvisoryFeesPolicy" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignCurrencyDisclosureTextBlock" xlink:label="loc_us-gaap_ForeignCurrencyDisclosureTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ForeignCurrencyDisclosureTextBlock" xml:lang="en-US">Foreign Currency Disclosure [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ForeignCurrencyDisclosureTextBlock" xml:lang="en-US">Foreign Currency</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyDisclosureTextBlock" xlink:to="lab_us-gaap_ForeignCurrencyDisclosureTextBlock" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_RealizedAndUnrealizedGainLossOnPolicyTextBlock" xlink:label="loc_bxpe_RealizedAndUnrealizedGainLossOnPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_RealizedAndUnrealizedGainLossOnPolicyTextBlock" xml:lang="en-US">Realized and Unrealized Gain Loss on [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_RealizedAndUnrealizedGainLossOnPolicyTextBlock" xml:lang="en-US">Net Realized and Unrealized Gain (Loss) on Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_RealizedAndUnrealizedGainLossOnPolicyTextBlock" xlink:to="lab_bxpe_RealizedAndUnrealizedGainLossOnPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_RealizedAndUnrealizedGainLossOnPolicyTextBlock" xml:lang="en-US">Realized and unrealized gain loss on investments policy text block.</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RevenueRecognitionPolicyTextBlock" xml:lang="en-US">Revenue [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_RevenueRecognitionPolicyTextBlock" xml:lang="en-US">Income Recognition</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:to="lab_us-gaap_RevenueRecognitionPolicyTextBlock" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ExpenseSupportPolicyTextBlock" xml:lang="en-US">Expense Support [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ExpenseSupportPolicyTextBlock" xml:lang="en-US">Expense Support</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ExpenseSupportPolicyTextBlock" xlink:to="lab_bxpe_ExpenseSupportPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ExpenseSupportPolicyTextBlock" xml:lang="en-US">Expense support policy text block.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_OrganizationalAndOfferingExpensesPolicyTextBlock" xlink:label="loc_bxpe_OrganizationalAndOfferingExpensesPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_OrganizationalAndOfferingExpensesPolicyTextBlock" xml:lang="en-US">Organizational And Offering Expenses [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_OrganizationalAndOfferingExpensesPolicyTextBlock" xml:lang="en-US">Organizational and Offering Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_OrganizationalAndOfferingExpensesPolicyTextBlock" xlink:to="lab_bxpe_OrganizationalAndOfferingExpensesPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_OrganizationalAndOfferingExpensesPolicyTextBlock" xml:lang="en-US">Organizational and offering expenses.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DerivativeInstrumentsPolicyTextBlock" xlink:label="loc_bxpe_DerivativeInstrumentsPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DerivativeInstrumentsPolicyTextBlock" xml:lang="en-US">Derivative Instruments [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DerivativeInstrumentsPolicyTextBlock" xml:lang="en-US">Derivative Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DerivativeInstrumentsPolicyTextBlock" xlink:to="lab_bxpe_DerivativeInstrumentsPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DerivativeInstrumentsPolicyTextBlock" xml:lang="en-US">Derivative instruments.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AffiliatesPolicyTextBlock" xlink:label="loc_bxpe_AffiliatesPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AffiliatesPolicyTextBlock" xml:lang="en-US">Affiliates [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_AffiliatesPolicyTextBlock" xml:lang="en-US">Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AffiliatesPolicyTextBlock" xlink:to="lab_bxpe_AffiliatesPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AffiliatesPolicyTextBlock" xml:lang="en-US">Affiliates.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxUncertaintiesPolicy" xlink:label="loc_us-gaap_IncomeTaxUncertaintiesPolicy" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxUncertaintiesPolicy" xml:lang="en-US">Income Tax Uncertainties, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncomeTaxUncertaintiesPolicy" xml:lang="en-US">Uncertain Tax Positions</link:label>
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredChargesPolicyTextBlock" xlink:to="lab_us-gaap_DeferredChargesPolicyTextBlock" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock" xml:lang="en-US">Segment Reporting</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:to="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ManagementFeesOffsetAndWaivedPolicyTextBlock" xml:lang="en-US">Management Fees Offset and Waived</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ManagementFeesOffsetAndWaivedPolicyTextBlock" xlink:to="lab_bxpe_ManagementFeesOffsetAndWaivedPolicyTextBlock" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTableTextBlock" xml:lang="en-US">Summary of Fair Value Measurements Recurring and Nonrecurring</link:label>
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" xlink:label="loc_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" xml:lang="en-US">Disclosure In Tabular Form Of Fair Value Of Investments In Affiliates And Unfunded Commitment [Table Text Block]</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" xml:lang="en-US">Disclosure in tabular form of fair value of investments in affiliates and unfunded commitment.</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xml:lang="en-US">Summary of Fair Value Assets Measured on Recurring Basis Unobservable Input Reconciliation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" xml:lang="en-US">Summary of the Aggregate Notional Amount and Fair Value of the Derivative Financial Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" xlink:to="lab_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:label="loc_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Table Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xml:lang="en-US">Summary of the Impact to the Condensed Consolidated Statements of Operations from Derivative Financial Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:to="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ClassOfStockDisclosuresAbstract" xlink:label="loc_us-gaap_ClassOfStockDisclosuresAbstract" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ClassOfStockDisclosuresAbstract" xlink:to="lab_us-gaap_ClassOfStockDisclosuresAbstract" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfStockByClassTextBlock" xml:lang="en-US">Schedule of Stock by Class [Table Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ScheduleOfStockByClassTextBlock" xml:lang="en-US">Summary of the Units issued during the period</link:label>
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfIncomeBeforeIncomeTaxDomesticAndForeignTableTextBlock" xlink:label="loc_us-gaap_ScheduleOfIncomeBeforeIncomeTaxDomesticAndForeignTableTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfIncomeBeforeIncomeTaxDomesticAndForeignTableTextBlock" xml:lang="en-US">Schedule of Income before Income Tax, Domestic and Foreign [Table Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ScheduleOfIncomeBeforeIncomeTaxDomesticAndForeignTableTextBlock" xml:lang="en-US">Schedule of Net Investment Income Before Provision for Taxes</link:label>
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock" xlink:label="loc_us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock" />
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" xlink:label="loc_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AmortizedTermOfDeferredExpensesIncludedAsAsset" xml:lang="en-US">Amortized term of deferred expenses included as asset.</link:label>
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          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PercentageOnBranchProfitTax" xlink:label="loc_bxpe_PercentageOnBranchProfitTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PercentageOnBranchProfitTax" xml:lang="en-US">Percentage On Branch Profit Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PercentageOnBranchProfitTax" xlink:to="lab_bxpe_PercentageOnBranchProfitTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PercentageOnBranchProfitTax" xml:lang="en-US">Percentage on branch profit tax.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PercentageOfWithholdingTax" xlink:label="loc_bxpe_PercentageOfWithholdingTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PercentageOfWithholdingTax" xml:lang="en-US">Percentage Of Withholding Tax</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PercentageOfWithholdingTax" xml:lang="en-US">Percentage Of Withholding Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PercentageOfWithholdingTax" xlink:to="lab_bxpe_PercentageOfWithholdingTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PercentageOfWithholdingTax" xml:lang="en-US">Percentage of withholding tax.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NumberOfReportableSegments" xlink:label="loc_us-gaap_NumberOfReportableSegments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NumberOfReportableSegments" xml:lang="en-US">Number of Reportable Segments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_NumberOfReportableSegments" xml:lang="en-US">Number of Reportable Segments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NumberOfReportableSegments" xlink:to="lab_us-gaap_NumberOfReportableSegments" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SegmentReportingCodmIndividualTitleAndPositionOrGroupOrCommitteeNameExtensibleEnumeration" xlink:label="loc_us-gaap_SegmentReportingCodmIndividualTitleAndPositionOrGroupOrCommitteeNameExtensibleEnumeration" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SegmentReportingCodmIndividualTitleAndPositionOrGroupOrCommitteeNameExtensibleEnumeration" xml:lang="en-US">Segment Reporting, CODM, Individual Title and Position or Group Name [Extensible Enumeration]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_SegmentReportingCodmIndividualTitleAndPositionOrGroupOrCommitteeNameExtensibleEnumeration" xml:lang="en-US">Segment Reporting, CODM, Individual Title and Position or Group Name [Extensible Enumeration]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SegmentReportingCodmIndividualTitleAndPositionOrGroupOrCommitteeNameExtensibleEnumeration" xlink:to="lab_us-gaap_SegmentReportingCodmIndividualTitleAndPositionOrGroupOrCommitteeNameExtensibleEnumeration" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SegmentReportingCodmProfitLossMeasureHowUsedDescription" xlink:label="loc_us-gaap_SegmentReportingCodmProfitLossMeasureHowUsedDescription" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SegmentReportingCodmProfitLossMeasureHowUsedDescription" xml:lang="en-US">Segment Reporting, CODM, Profit (Loss) Measure, How Used, Description</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_SegmentReportingCodmProfitLossMeasureHowUsedDescription" xml:lang="en-US">Segment Reporting, CODM, Profit (Loss) Measure, How Used, Description</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SegmentReportingCodmProfitLossMeasureHowUsedDescription" xlink:to="lab_us-gaap_SegmentReportingCodmProfitLossMeasureHowUsedDescription" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SegmentReportingExpenseInformationUsedByCodmDescription" xlink:label="loc_us-gaap_SegmentReportingExpenseInformationUsedByCodmDescription" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SegmentReportingExpenseInformationUsedByCodmDescription" xml:lang="en-US">Segment Reporting, Expense Information Used by CODM, Description</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_SegmentReportingExpenseInformationUsedByCodmDescription" xml:lang="en-US">Segment Reporting, Expense Information Used by CODM, Description</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SegmentReportingExpenseInformationUsedByCodmDescription" xlink:to="lab_us-gaap_SegmentReportingExpenseInformationUsedByCodmDescription" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Percent</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential" xml:lang="en-US">Effective income tax rate reconciliation, foreign income tax rate differential, percent</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential" xlink:to="lab_us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxAuthorityAxis" xlink:label="loc_us-gaap_IncomeTaxAuthorityAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxAuthorityAxis" xml:lang="en-US">Income Tax Jurisdiction [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxAuthorityAxis" xlink:to="lab_us-gaap_IncomeTaxAuthorityAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxAuthorityDomain" xlink:label="loc_us-gaap_IncomeTaxAuthorityDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxAuthorityDomain" xml:lang="en-US">Income Tax Jurisdiction [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxAuthorityDomain" xlink:to="lab_us-gaap_IncomeTaxAuthorityDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_TitleOfIndividualAxis" xlink:label="loc_srt_TitleOfIndividualAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_TitleOfIndividualAxis" xml:lang="en-US">Title and Position [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_TitleOfIndividualAxis" xlink:to="lab_srt_TitleOfIndividualAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_TitleOfIndividualWithRelationshipToEntityDomain" xlink:label="loc_srt_TitleOfIndividualWithRelationshipToEntityDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_TitleOfIndividualWithRelationshipToEntityDomain" xml:lang="en-US">Title and Position [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_TitleOfIndividualWithRelationshipToEntityDomain" xlink:to="lab_srt_TitleOfIndividualWithRelationshipToEntityDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ChiefExecutiveOfficerMember" xlink:label="loc_srt_ChiefExecutiveOfficerMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_ChiefExecutiveOfficerMember" xml:lang="en-US">Chief Executive Officer [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ChiefExecutiveOfficerMember" xlink:to="lab_srt_ChiefExecutiveOfficerMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ChiefFinancialOfficerMember" xlink:label="loc_srt_ChiefFinancialOfficerMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_ChiefFinancialOfficerMember" xml:lang="en-US">Chief Financial Officer [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ChiefFinancialOfficerMember" xlink:to="lab_srt_ChiefFinancialOfficerMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PercentageOfInterestInTheAggregator" xlink:label="loc_bxpe_PercentageOfInterestInTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PercentageOfInterestInTheAggregator" xml:lang="en-US">Percentage Of Interest In The Aggregator</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PercentageOfInterestInTheAggregator" xml:lang="en-US">Percentage of interest in the aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PercentageOfInterestInTheAggregator" xlink:to="lab_bxpe_PercentageOfInterestInTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PercentageOfInterestInTheAggregator" xml:lang="en-US">Percentage of interest in the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PercentageOfHoldingInvestmentOfTheAggregator" xlink:label="loc_bxpe_PercentageOfHoldingInvestmentOfTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PercentageOfHoldingInvestmentOfTheAggregator" xml:lang="en-US">Percentage Of Holding Investment Of The Aggregator</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PercentageOfHoldingInvestmentOfTheAggregator" xml:lang="en-US">Percentage of holding investment of the aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PercentageOfHoldingInvestmentOfTheAggregator" xlink:to="lab_bxpe_PercentageOfHoldingInvestmentOfTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PercentageOfHoldingInvestmentOfTheAggregator" xml:lang="en-US">Percentage of holding investment of the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PercentageOfListingInvestmentOfTheAggregator" xlink:label="loc_bxpe_PercentageOfListingInvestmentOfTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PercentageOfListingInvestmentOfTheAggregator" xml:lang="en-US">Percentage Of Listing Investment Of The Aggregator</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PercentageOfListingInvestmentOfTheAggregator" xml:lang="en-US">Percentage of listing investment of the aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PercentageOfListingInvestmentOfTheAggregator" xlink:to="lab_bxpe_PercentageOfListingInvestmentOfTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PercentageOfListingInvestmentOfTheAggregator" xml:lang="en-US">Percentage of listing investment of the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xml:lang="en-US">Fair Value, Recurring and Nonrecurring [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_CashHeldAtBankMember" xlink:label="loc_bxpe_CashHeldAtBankMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_CashHeldAtBankMember" xml:lang="en-US">Cash Held At Bank [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_CashHeldAtBankMember" xml:lang="en-US">Cash Held at Banks [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_CashHeldAtBankMember" xlink:to="lab_bxpe_CashHeldAtBankMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_CashHeldAtBankMember" xml:lang="en-US">Cash held at bank.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MoneyMarketFundsMember" xlink:label="loc_us-gaap_MoneyMarketFundsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_MoneyMarketFundsMember" xml:lang="en-US">Money Market Funds [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_MoneyMarketFundsMember" xml:lang="en-US">Money Market Fund [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MoneyMarketFundsMember" xlink:to="lab_us-gaap_MoneyMarketFundsMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DebtInvestmentsMember" xlink:label="loc_bxpe_DebtInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DebtInvestmentsMember" xml:lang="en-US">Debt Investments [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DebtInvestmentsMember" xml:lang="en-US">Debt Investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DebtInvestmentsMember" xlink:to="lab_bxpe_DebtInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DebtInvestmentsMember" xml:lang="en-US">Debt investments.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeFinancialInstrumentsAssetsMember" xlink:label="loc_us-gaap_DerivativeFinancialInstrumentsAssetsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeFinancialInstrumentsAssetsMember" xml:lang="en-US">Derivative Financial Instruments, Assets [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeFinancialInstrumentsAssetsMember" xml:lang="en-US">Derivative Instruments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFinancialInstrumentsAssetsMember" xlink:to="lab_us-gaap_DerivativeFinancialInstrumentsAssetsMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquityMethodInvestmentsMember" xlink:label="loc_us-gaap_EquityMethodInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EquityMethodInvestmentsMember" xml:lang="en-US">Equity Method Investments [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_EquityMethodInvestmentsMember" xml:lang="en-US">Equity Investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestmentsMember" xlink:to="lab_us-gaap_EquityMethodInvestmentsMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xml:lang="en-US">Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsFairValueDisclosureAbstract" xlink:label="loc_us-gaap_AssetsFairValueDisclosureAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AssetsFairValueDisclosureAbstract" xml:lang="en-US">Assets, Fair Value Disclosure [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_AssetsFairValueDisclosureAbstract" xml:lang="en-US">Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsFairValueDisclosureAbstract" xlink:to="lab_us-gaap_AssetsFairValueDisclosureAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:label="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xml:lang="en-US">Cash and Cash Equivalents, Fair Value Disclosure</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xml:lang="en-US">Cash and Cash Equivalents</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:to="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsFairValueDisclosure" xlink:label="loc_us-gaap_InvestmentsFairValueDisclosure" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentsFairValueDisclosure" xml:lang="en-US">Investments, Fair Value Disclosure</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentsFairValueDisclosure" xml:lang="en-US">Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsFairValueDisclosure" xlink:to="lab_us-gaap_InvestmentsFairValueDisclosure" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsFairValueDisclosure" xlink:label="loc_us-gaap_AssetsFairValueDisclosure" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AssetsFairValueDisclosure" xml:lang="en-US">Assets, Fair Value Disclosure</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_AssetsFairValueDisclosure" xml:lang="en-US">Total Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsFairValueDisclosure" xlink:to="lab_us-gaap_AssetsFairValueDisclosure" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet" xlink:label="loc_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet" xml:lang="en-US">Derivative Assets (Liabilities), at Fair Value, Net</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet" xml:lang="en-US">Derivative Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet" xlink:to="lab_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xml:lang="en-US">Fair Value Hierarchy and NAV [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xml:lang="en-US">Fair Value Hierarchy and NAV [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:to="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel1Member" xlink:label="loc_us-gaap_FairValueInputsLevel1Member" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xml:lang="en-US">Fair Value, Inputs, Level 1 [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xml:lang="en-US">Level I [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel1Member" xlink:to="lab_us-gaap_FairValueInputsLevel1Member" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel2Member" xlink:label="loc_us-gaap_FairValueInputsLevel2Member" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xml:lang="en-US">Fair Value, Inputs, Level 2 [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xml:lang="en-US">Level II [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel2Member" xlink:to="lab_us-gaap_FairValueInputsLevel2Member" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel3Member" xlink:label="loc_us-gaap_FairValueInputsLevel3Member" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueInputsLevel3Member" xml:lang="en-US">Fair Value, Inputs, Level 3 [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueInputsLevel3Member" xml:lang="en-US">Level III [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel3Member" xlink:to="lab_us-gaap_FairValueInputsLevel3Member" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:label="loc_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xml:lang="en-US">Fair Value Measured at Net Asset Value Per Share [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xml:lang="en-US">NAV [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:to="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PrivateDebtInvestmentsMember" xlink:label="loc_bxpe_PrivateDebtInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PrivateDebtInvestmentsMember" xml:lang="en-US">Private Debt Investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PrivateDebtInvestmentsMember" xlink:to="lab_bxpe_PrivateDebtInvestmentsMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_LiquidDebtInvestmentsMember" xlink:label="loc_bxpe_LiquidDebtInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_LiquidDebtInvestmentsMember" xml:lang="en-US">Liquid Debt Investments [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxpe_LiquidDebtInvestmentsMember" xml:lang="en-US">Liquids Debt Investments [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_LiquidDebtInvestmentsMember" xml:lang="en-US">Liquid Debt Investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_LiquidDebtInvestmentsMember" xlink:to="lab_bxpe_LiquidDebtInvestmentsMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_EquityInvestmentsMember" xlink:label="loc_bxpe_EquityInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_EquityInvestmentsMember" xml:lang="en-US">Equity Investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_EquityInvestmentsMember" xlink:to="lab_bxpe_EquityInvestmentsMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ImpactOnValuationOfInputMeasureAxis" xlink:label="loc_bxpe_ImpactOnValuationOfInputMeasureAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ImpactOnValuationOfInputMeasureAxis" xml:lang="en-US">Impact On Valuation Of Input Measure [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ImpactOnValuationOfInputMeasureAxis" xlink:to="lab_bxpe_ImpactOnValuationOfInputMeasureAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ImpactOnValuationOfInputMeasureAxis" xml:lang="en-US">Impact on valuation of input measure.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ImpactOnValuationOfInputMeasureDomain" xlink:label="loc_bxpe_ImpactOnValuationOfInputMeasureDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ImpactOnValuationOfInputMeasureDomain" xml:lang="en-US">Impact On Valuation Of Input Measure [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ImpactOnValuationOfInputMeasureDomain" xlink:to="lab_bxpe_ImpactOnValuationOfInputMeasureDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ImpactOnValuationOfInputMeasureDomain" xml:lang="en-US">Impact on valuation of input measure.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_LowerImpactMember" xlink:label="loc_bxpe_LowerImpactMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_LowerImpactMember" xml:lang="en-US">Lower Impact [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_LowerImpactMember" xlink:to="lab_bxpe_LowerImpactMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_LowerImpactMember" xml:lang="en-US">Lower impact.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_HigherImpactMember" xlink:label="loc_bxpe_HigherImpactMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_HigherImpactMember" xml:lang="en-US">Higher Impact [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_HigherImpactMember" xlink:to="lab_bxpe_HigherImpactMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_HigherImpactMember" xml:lang="en-US">Higher impact.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MeasurementInputTypeAxis" xlink:label="loc_us-gaap_MeasurementInputTypeAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_MeasurementInputTypeAxis" xml:lang="en-US">Measurement Input Type [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputTypeAxis" xlink:to="lab_us-gaap_MeasurementInputTypeAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MeasurementInputTypeDomain" xlink:label="loc_us-gaap_MeasurementInputTypeDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_MeasurementInputTypeDomain" xml:lang="en-US">Measurement Input Type [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputTypeDomain" xlink:to="lab_us-gaap_MeasurementInputTypeDomain" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_MeasurementInputWACCMember" xlink:label="loc_bxpe_MeasurementInputWACCMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_MeasurementInputWACCMember" xml:lang="en-US">Measurement Input WACC [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_MeasurementInputWACCMember" xlink:to="lab_bxpe_MeasurementInputWACCMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_MeasurementInputWACCMember" xml:lang="en-US">Measurement input WACC.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_MeasurementInputExitMultipleMember" xlink:label="loc_bxpe_MeasurementInputExitMultipleMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_MeasurementInputExitMultipleMember" xml:lang="en-US">Measurement Input Exit Multiple [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_MeasurementInputExitMultipleMember" xlink:to="lab_bxpe_MeasurementInputExitMultipleMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_MeasurementInputExitMultipleMember" xml:lang="en-US">Measurement input exit multiple.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ValuationTechniqueAxis" xlink:label="loc_us-gaap_ValuationTechniqueAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ValuationTechniqueAxis" xml:lang="en-US">Valuation Approach and Technique [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueAxis" xlink:to="lab_us-gaap_ValuationTechniqueAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ValuationTechniqueDomain" xlink:label="loc_us-gaap_ValuationTechniqueDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ValuationTechniqueDomain" xml:lang="en-US">Valuation Approach and Technique [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueDomain" xlink:to="lab_us-gaap_ValuationTechniqueDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:label="loc_us-gaap_ValuationTechniqueDiscountedCashFlowMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xml:lang="en-US">Valuation Technique, Discounted Cash Flow [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:to="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ValuationTechniqueTransactionalValueMember" xlink:label="loc_bxpe_ValuationTechniqueTransactionalValueMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ValuationTechniqueTransactionalValueMember" xml:lang="en-US">Valuation Technique Transactional Value [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ValuationTechniqueTransactionalValueMember" xlink:to="lab_bxpe_ValuationTechniqueTransactionalValueMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ValuationTechniqueTransactionalValueMember" xml:lang="en-US">Valuation technique transactional value.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ValuationTechniqueThirdPartyPricingMember" xlink:label="loc_bxpe_ValuationTechniqueThirdPartyPricingMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ValuationTechniqueThirdPartyPricingMember" xml:lang="en-US">Valuation Technique Third Party Pricing [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ValuationTechniqueThirdPartyPricingMember" xml:lang="en-US">Valuation Technique Third Party Pricing [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ValuationTechniqueThirdPartyPricingMember" xlink:to="lab_bxpe_ValuationTechniqueThirdPartyPricingMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ValuationTechniqueThirdPartyPricingMember" xml:lang="en-US">Valuation technique third party pricing.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ValuationTechniquesRecentRoundOfFinancingMember" xlink:label="loc_bxpe_ValuationTechniquesRecentRoundOfFinancingMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ValuationTechniquesRecentRoundOfFinancingMember" xml:lang="en-US">Valuation Techniques Recent Round of Financing [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ValuationTechniquesRecentRoundOfFinancingMember" xlink:to="lab_bxpe_ValuationTechniquesRecentRoundOfFinancingMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_MinimumMember" xlink:label="loc_srt_MinimumMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_MinimumMember" xml:lang="en-US">Minimum [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_srt_MinimumMember" xml:lang="en-US">Minimum [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_MinimumMember" xlink:to="lab_srt_MinimumMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_WeightedAverageMember" xlink:label="loc_srt_WeightedAverageMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_WeightedAverageMember" xml:lang="en-US">Weighted Average [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_WeightedAverageMember" xlink:to="lab_srt_WeightedAverageMember" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_InvestmentCompanyInvestmentOwnedValuationTechniques" xml:lang="en-US">Valuation Techniques</link:label>
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          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" xlink:label="loc_bxpe_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" xml:lang="en-US">Investment Company Investment Owned Significant Unobservable Input</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" xml:lang="en-US">Unobservable Inputs</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" xlink:to="lab_bxpe_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" xml:lang="en-US">Investment company investment owned significant unobservable input.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xml:lang="en-US">Investment Company, Investment Owned, Measurement Input</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xml:lang="en-US">Measurement Input</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" xlink:label="loc_us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" xml:lang="en-US">Unobservable Measurement Input, Uncertainty, Description</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" xml:lang="en-US">Impact to Valuation from an Increase in Input</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" xlink:to="lab_us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" xml:lang="en-US">Fair Value, Assets and Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AffiliatedInvesteeMember" xlink:label="loc_bxpe_AffiliatedInvesteeMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AffiliatedInvesteeMember" xml:lang="en-US">Affiliated Investee [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_AffiliatedInvesteeMember" xml:lang="en-US">Affiliated Investee [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AffiliatedInvesteeMember" xlink:to="lab_bxpe_AffiliatedInvesteeMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AffiliatedInvesteeMember" xml:lang="en-US">Affiliated investee.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_EquityTypeInvestmentsMember" xlink:label="loc_bxpe_EquityTypeInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_EquityTypeInvestmentsMember" xml:lang="en-US">Equity Type Investments [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_EquityTypeInvestmentsMember" xml:lang="en-US">Equity Investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_EquityTypeInvestmentsMember" xlink:to="lab_bxpe_EquityTypeInvestmentsMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xml:lang="en-US">Balance, Beginning of Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xml:lang="en-US">Balance, End of Period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Purchases</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xml:lang="en-US">Purchases</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xml:lang="en-US">Change in Gain (Loss) Included in Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xml:lang="en-US">Fair Value, Asset, Recurring Basis, Still Held, Unrealized Gain (Loss)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xml:lang="en-US">Changes in Unrealized Gain (Loss) Included in Earnings Related to Financial Assets Still Held at the Reporting Date</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Sales</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xml:lang="en-US">Sales and Proceeds from Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Transfers Into Level 3</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3" xml:lang="en-US">Transfer Into Level III</link:label>
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers out of Level 3</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xml:lang="en-US">Transfer Out of Level III</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:label="loc_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xml:lang="en-US">Fair Value, Asset, Recurring Basis, Still Held, Unrealized Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:to="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueRecurringBasisUnobservableInputReconciliationAssetGainLossStatementOfIncomeExtensibleList" xlink:label="loc_us-gaap_FairValueRecurringBasisUnobservableInputReconciliationAssetGainLossStatementOfIncomeExtensibleList" />
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsInAndAdvancesToAffiliatesAbstract" xlink:label="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAbstract" />
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          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTable" xlink:label="loc_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTable" xml:lang="en-US">Disclosure In Tabular Form Of Fair Value Of Investments In Affiliates And Unfunded Commitment [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTable" xlink:to="lab_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTable" xml:lang="en-US">Disclosure in tabular form of fair value of investments in affiliates and unfunded commitment.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:label="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xml:lang="en-US">Related and Nonrelated Parties [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:to="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyDomain" xlink:label="loc_us-gaap_RelatedPartyDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyDomain" xml:lang="en-US">Related and Nonrelated Parties [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyDomain" xlink:to="lab_us-gaap_RelatedPartyDomain" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_OtherInvestmentsInAffiliatedInvesteeFundsMember" xlink:label="loc_bxpe_OtherInvestmentsInAffiliatedInvesteeFundsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_OtherInvestmentsInAffiliatedInvesteeFundsMember" xml:lang="en-US">Other Investments in Affiliated Investee Funds [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_OtherInvestmentsInAffiliatedInvesteeFundsMember" xml:lang="en-US">Affiliated Investee Funds [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_OtherInvestmentsInAffiliatedInvesteeFundsMember" xlink:to="lab_bxpe_OtherInvestmentsInAffiliatedInvesteeFundsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_OtherInvestmentsInAffiliatedInvesteeFundsMember" xml:lang="en-US">Other investments in affiliated investee funds.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_OtherEquityInvestmentMember" xlink:label="loc_bxpe_OtherEquityInvestmentMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_OtherEquityInvestmentMember" xml:lang="en-US">Other Equity Investment [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_OtherEquityInvestmentMember" xml:lang="en-US">Equity Investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_OtherEquityInvestmentMember" xlink:to="lab_bxpe_OtherEquityInvestmentMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentLineItems" xlink:label="loc_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentLineItems" xml:lang="en-US">Disclosure In Tabular Form Of Fair Value Of Investments In Affiliates And Unfunded Commitment [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentLineItems" xlink:to="lab_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentLineItems" xml:lang="en-US">Disclosure in tabular form of fair value of investments in affiliates and unfunded commitment.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_NetAssetValueInvestmentInAffiliatesAtFairValue" xlink:label="loc_bxpe_NetAssetValueInvestmentInAffiliatesAtFairValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_NetAssetValueInvestmentInAffiliatesAtFairValue" xml:lang="en-US">Net Asset Value Investment In Affiliates At Fair Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_NetAssetValueInvestmentInAffiliatesAtFairValue" xml:lang="en-US">Secondaries Fair Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_NetAssetValueInvestmentInAffiliatesAtFairValue" xlink:to="lab_bxpe_NetAssetValueInvestmentInAffiliatesAtFairValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_NetAssetValueInvestmentInAffiliatesAtFairValue" xml:lang="en-US">Net asset value investment in affiliates at fair value.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentInAffiliatesUnfundedCommitments" xlink:label="loc_bxpe_InvestmentInAffiliatesUnfundedCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentInAffiliatesUnfundedCommitments" xml:lang="en-US">Investment In Affiliates Unfunded Commitments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_InvestmentInAffiliatesUnfundedCommitments" xml:lang="en-US">Secondaries Unfunded Commitment</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentInAffiliatesUnfundedCommitments" xlink:to="lab_bxpe_InvestmentInAffiliatesUnfundedCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentInAffiliatesUnfundedCommitments" xml:lang="en-US">Investment in affiliates unfunded commitments.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquityMethodInvestments" xlink:label="loc_us-gaap_EquityMethodInvestments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EquityMethodInvestments" xml:lang="en-US">Equity Method Investments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_EquityMethodInvestments" xml:lang="en-US">Equity method investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestments" xlink:to="lab_us-gaap_EquityMethodInvestments" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_IndividualEquityMethodInvestmentsMember" xlink:label="loc_bxpe_IndividualEquityMethodInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_IndividualEquityMethodInvestmentsMember" xml:lang="en-US">Individual Equity Method Investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_IndividualEquityMethodInvestmentsMember" xlink:to="lab_bxpe_IndividualEquityMethodInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_IndividualEquityMethodInvestmentsMember" xml:lang="en-US">Individual equity method investments.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityTable" xlink:label="loc_us-gaap_LineOfCreditFacilityTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityTable" xml:lang="en-US">Line of Credit Facility [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityTable" xlink:to="lab_us-gaap_LineOfCreditFacilityTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityLineItems" xlink:label="loc_us-gaap_LineOfCreditFacilityLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityLineItems" xml:lang="en-US">Line of Credit Facility [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems" xlink:to="lab_us-gaap_LineOfCreditFacilityLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentPaymentTerms" xlink:label="loc_us-gaap_DebtInstrumentPaymentTerms" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtInstrumentPaymentTerms" xml:lang="en-US">Debt Instrument, Payment Terms</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DebtInstrumentPaymentTerms" xml:lang="en-US">Debt instrument, payment terms</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentPaymentTerms" xlink:to="lab_us-gaap_DebtInstrumentPaymentTerms" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xml:lang="en-US">Line of credit facility, maximum borrowing capacity</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:to="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xml:lang="en-US">Debt Instrument, Interest Rate, Stated Percentage</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xml:lang="en-US">Debt instrument interest rate</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:to="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration" xlink:label="loc_us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration" xml:lang="en-US">Debt Instrument, Variable Interest Rate, Type [Extensible Enumeration]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration" xml:lang="en-US">Indicates type of variable interest rate on debt instrument</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration" xlink:to="lab_us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityFairValueOfAmountOutstanding" xlink:label="loc_us-gaap_LineOfCreditFacilityFairValueOfAmountOutstanding" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityFairValueOfAmountOutstanding" xml:lang="en-US">Line of Credit Facility, Fair Value of Amount Outstanding</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCreditFacilityFairValueOfAmountOutstanding" xml:lang="en-US">Line of credit facility, fair value of amount outstanding</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityFairValueOfAmountOutstanding" xlink:to="lab_us-gaap_LineOfCreditFacilityFairValueOfAmountOutstanding" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityInterestRateAtPeriodEnd" xlink:label="loc_us-gaap_LineOfCreditFacilityInterestRateAtPeriodEnd" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityInterestRateAtPeriodEnd" xml:lang="en-US">Line of Credit Facility, Interest Rate at Period End</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCreditFacilityInterestRateAtPeriodEnd" xml:lang="en-US">Line of credit facility, interest rate at period end</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityInterestRateAtPeriodEnd" xlink:to="lab_us-gaap_LineOfCreditFacilityInterestRateAtPeriodEnd" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:label="loc_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xml:lang="en-US">Line of Credit Facility, Unused Capacity, Commitment Fee Percentage</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xml:lang="en-US">Line of credit facility, unused capacity, commitment fee percentage</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:to="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xlink:label="loc_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xml:lang="en-US">Line of Credit Facility, Interest Rate During Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xml:lang="en-US">Line of credit facility, interest rate during period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xlink:to="lab_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CreditFacilityAxis" xlink:label="loc_us-gaap_CreditFacilityAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CreditFacilityAxis" xml:lang="en-US">Credit Facility [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CreditFacilityAxis" xlink:to="lab_us-gaap_CreditFacilityAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CreditFacilityDomain" xlink:label="loc_us-gaap_CreditFacilityDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CreditFacilityDomain" xml:lang="en-US">Credit Facility [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CreditFacilityDomain" xlink:to="lab_us-gaap_CreditFacilityDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditMember" xlink:label="loc_us-gaap_LineOfCreditMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditMember" xml:lang="en-US">Line of Credit [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCreditMember" xml:lang="en-US">Line of Credit [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditMember" xlink:to="lab_us-gaap_LineOfCreditMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LetterOfCreditMember" xlink:label="loc_us-gaap_LetterOfCreditMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LetterOfCreditMember" xml:lang="en-US">Letter of Credit [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LetterOfCreditMember" xlink:to="lab_us-gaap_LetterOfCreditMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AgreementAxis" xlink:label="loc_bxpe_AgreementAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AgreementAxis" xml:lang="en-US">Agreement [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AgreementAxis" xlink:to="lab_bxpe_AgreementAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AgreementAxis" xml:lang="en-US">Agreement.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AgreementDomain" xlink:label="loc_bxpe_AgreementDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AgreementDomain" xml:lang="en-US">Agreement [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AgreementDomain" xlink:to="lab_bxpe_AgreementDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AgreementDomain" xml:lang="en-US">Agreement.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_LineOfCreditAgreementMember" xlink:label="loc_bxpe_LineOfCreditAgreementMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_LineOfCreditAgreementMember" xml:lang="en-US">Line Of Credit Agreement [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_LineOfCreditAgreementMember" xml:lang="en-US">Line of Credit Agreement [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_LineOfCreditAgreementMember" xlink:to="lab_bxpe_LineOfCreditAgreementMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_LineOfCreditAgreementMember" xml:lang="en-US">Line of credit agreement.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AggregatorCreditAgreementMember" xlink:label="loc_bxpe_AggregatorCreditAgreementMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AggregatorCreditAgreementMember" xml:lang="en-US">Aggregator Credit Agreement [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AggregatorCreditAgreementMember" xlink:to="lab_bxpe_AggregatorCreditAgreementMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AggregatorCreditAgreementMember" xml:lang="en-US">Aggregator credit agreement.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_VariableRateAxis" xlink:label="loc_us-gaap_VariableRateAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_VariableRateAxis" xml:lang="en-US">Variable Rate [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_VariableRateAxis" xlink:to="lab_us-gaap_VariableRateAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_VariableRateDomain" xlink:label="loc_us-gaap_VariableRateDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_VariableRateDomain" xml:lang="en-US">Variable Rate [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_VariableRateDomain" xlink:to="lab_us-gaap_VariableRateDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:label="loc_us-gaap_SecuredOvernightFinancingRateSofrMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SecuredOvernightFinancingRateSofrMember" xml:lang="en-US">Secured Overnight Financing Rate (SOFR) [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:to="lab_us-gaap_SecuredOvernightFinancingRateSofrMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BaseRateMember" xlink:label="loc_us-gaap_BaseRateMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_BaseRateMember" xml:lang="en-US">Base Rate [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BaseRateMember" xlink:to="lab_us-gaap_BaseRateMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityAxis" xlink:label="loc_us-gaap_LineOfCreditFacilityAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityAxis" xml:lang="en-US">Lender Name [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityAxis" xlink:to="lab_us-gaap_LineOfCreditFacilityAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityLenderDomain" xlink:label="loc_us-gaap_LineOfCreditFacilityLenderDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityLenderDomain" xml:lang="en-US">Line of Credit Facility, Lender [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityLenderDomain" xlink:to="lab_us-gaap_LineOfCreditFacilityLenderDomain" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_BonavistaCreditFacilityMember" xlink:label="loc_bxpe_BonavistaCreditFacilityMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_BonavistaCreditFacilityMember" xml:lang="en-US">Bonavista Credit Facility [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_BonavistaCreditFacilityMember" xlink:to="lab_bxpe_BonavistaCreditFacilityMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_BonavistaCreditFacilityMember" xml:lang="en-US">Bonavista credit facility.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_BxpeUsMember" xlink:label="loc_bxpe_BxpeUsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_BxpeUsMember" xml:lang="en-US">BXPE US [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_BxpeUsMember" xlink:to="lab_bxpe_BxpeUsMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeAssetNotionalAmount" xlink:label="loc_us-gaap_DerivativeAssetNotionalAmount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeAssetNotionalAmount" xml:lang="en-US">Derivative Asset, Notional Amount</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeAssetNotionalAmount" xml:lang="en-US">Derivative Asset, Notional Amount</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeAssetNotionalAmount" xlink:to="lab_us-gaap_DerivativeAssetNotionalAmount" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeLiabilityNotionalAmount" xlink:label="loc_us-gaap_DerivativeLiabilityNotionalAmount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeLiabilityNotionalAmount" xml:lang="en-US">Derivative Liability, Notional Amount</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_DerivativeLiabilityNotionalAmount" xml:lang="en-US">Derivative Liability, Notional Amount</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeLiabilityNotionalAmount" xlink:to="lab_us-gaap_DerivativeLiabilityNotionalAmount" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentRiskAxis" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeInstrumentRiskAxis" xml:lang="en-US">Derivative Instrument [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis" xlink:to="lab_us-gaap_DerivativeInstrumentRiskAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeContractTypeDomain" xlink:label="loc_us-gaap_DerivativeContractTypeDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeContractTypeDomain" xml:lang="en-US">Derivative Contract [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeContractTypeDomain" xlink:to="lab_us-gaap_DerivativeContractTypeDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignExchangeContractMember" xlink:label="loc_us-gaap_ForeignExchangeContractMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ForeignExchangeContractMember" xml:lang="en-US">Foreign Exchange Contract [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ForeignExchangeContractMember" xml:lang="en-US">Foreign Currency Contracts [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignExchangeContractMember" xlink:to="lab_us-gaap_ForeignExchangeContractMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommodityContractMember" xlink:label="loc_us-gaap_CommodityContractMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CommodityContractMember" xml:lang="en-US">Commodity Contract [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CommodityContractMember" xml:lang="en-US">Commodity Futures Contracts [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommodityContractMember" xlink:to="lab_us-gaap_CommodityContractMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_CurrencyAxis" xlink:label="loc_srt_CurrencyAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_CurrencyAxis" xml:lang="en-US">Currency [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_CurrencyAxis" xlink:to="lab_srt_CurrencyAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_AllCurrenciesDomain" xlink:label="loc_currency_AllCurrenciesDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_currency_AllCurrenciesDomain" xml:lang="en-US">All Currencies [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_AllCurrenciesDomain" xlink:to="lab_currency_AllCurrenciesDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_EUR" xlink:label="loc_currency_EUR" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_currency_EUR" xml:lang="en-US">Euro Member Countries, Euro</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_currency_EUR" xml:lang="en-US">EUR [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_EUR" xlink:to="lab_currency_EUR" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_GBP" xlink:label="loc_currency_GBP" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_currency_GBP" xml:lang="en-US">United Kingdom, Pounds</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_currency_GBP" xml:lang="en-US">GBP [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_GBP" xlink:to="lab_currency_GBP" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_JPY" xlink:label="loc_currency_JPY" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_currency_JPY" xml:lang="en-US">Japan, Yen</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_currency_JPY" xml:lang="en-US">JPY [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_JPY" xlink:to="lab_currency_JPY" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:to="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossLineItems" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="lab_us-gaap_DerivativeInstrumentsGainLossLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xlink:label="loc_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xml:lang="en-US">Derivative, Gain (Loss) on Derivative, Net [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xml:lang="en-US">Net Change in Unrealized Gain (Loss)</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xlink:to="lab_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeGainLossOnDerivativeNet" xlink:label="loc_us-gaap_DerivativeGainLossOnDerivativeNet" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNet" xml:lang="en-US">Derivative, Gain (Loss) on Derivative, Net</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNet" xml:lang="en-US">Derivative Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeGainLossOnDerivativeNet" xlink:to="lab_us-gaap_DerivativeGainLossOnDerivativeNet" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:label="loc_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xml:lang="en-US">Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:to="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForwardContractsMember" xlink:label="loc_us-gaap_ForwardContractsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ForwardContractsMember" xml:lang="en-US">Forward Contracts [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ForwardContractsMember" xml:lang="en-US">Forward Sales Contracts [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForwardContractsMember" xlink:to="lab_us-gaap_ForwardContractsMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DerivativeTypeAxis" xlink:label="loc_bxpe_DerivativeTypeAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DerivativeTypeAxis" xml:lang="en-US">Derivative Type [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DerivativeTypeAxis" xlink:to="lab_bxpe_DerivativeTypeAxis" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DerivativeTypeDomain" xlink:label="loc_bxpe_DerivativeTypeDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DerivativeTypeDomain" xml:lang="en-US">Derivative Type [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DerivativeTypeDomain" xlink:to="lab_bxpe_DerivativeTypeDomain" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DerivativeRealizedGainMember" xlink:label="loc_bxpe_DerivativeRealizedGainMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DerivativeRealizedGainMember" xml:lang="en-US">Derivative Realized Gain [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DerivativeRealizedGainMember" xlink:to="lab_bxpe_DerivativeRealizedGainMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DerivativeUnrealizedGainLossMember" xlink:label="loc_bxpe_DerivativeUnrealizedGainLossMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DerivativeUnrealizedGainLossMember" xml:lang="en-US">Derivative Unrealized Gain Loss [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DerivativeUnrealizedGainLossMember" xml:lang="en-US">Derivative Unrealized Gain (Loss) [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DerivativeUnrealizedGainLossMember" xlink:to="lab_bxpe_DerivativeUnrealizedGainLossMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DerivativeUnrealizedGainLossMember" xml:lang="en-US">Derivative unrealized gain loss.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SharesOutstanding" xlink:label="loc_us-gaap_SharesOutstanding" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SharesOutstanding" xml:lang="en-US">Shares, Outstanding</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="lab_us-gaap_SharesOutstanding" xml:lang="en-US">Beginning Units Outstanding</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="lab_us-gaap_SharesOutstanding" xml:lang="en-US">Ending Units Outstanding</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SharesOutstanding" xlink:to="lab_us-gaap_SharesOutstanding" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesNewIssues" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xml:lang="en-US">Stock Issued During Period, Shares, New Issues</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xml:lang="en-US">Units Issued</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:to="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xml:lang="en-US">Stock Issued During Period, Shares, Conversion of Units</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xml:lang="en-US">Conversion of Units Between Classes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xlink:to="lab_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:label="loc_us-gaap_StockRedeemedOrCalledDuringPeriodShares" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xml:lang="en-US">Stock Redeemed or Called During Period, Shares</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xml:lang="en-US">Redemption of Units</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xml:lang="en-US">Stock Redeemed Or Called During Period Shares</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:to="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_SharesIssuedNotDisclosed" xlink:label="loc_bxpe_SharesIssuedNotDisclosed" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_SharesIssuedNotDisclosed" xml:lang="en-US">Shares Issued Not Disclosed</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_SharesIssuedNotDisclosed" xlink:to="lab_bxpe_SharesIssuedNotDisclosed" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_SharesIssuedNotDisclosed" xml:lang="en-US">Shares issued not disclosed.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ShareRepurchaseProgramAxis" xlink:label="loc_srt_ShareRepurchaseProgramAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_ShareRepurchaseProgramAxis" xml:lang="en-US">Share Repurchase Program [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ShareRepurchaseProgramAxis" xlink:to="lab_srt_ShareRepurchaseProgramAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ShareRepurchaseProgramDomain" xlink:label="loc_srt_ShareRepurchaseProgramDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_ShareRepurchaseProgramDomain" xml:lang="en-US">Share Repurchase Program [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ShareRepurchaseProgramDomain" xlink:to="lab_srt_ShareRepurchaseProgramDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetAssetValuePerShare" xlink:label="loc_us-gaap_NetAssetValuePerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NetAssetValuePerShare" xml:lang="en-US">Net Asset Value Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_NetAssetValuePerShare" xml:lang="en-US">Net asset value per share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="lab_us-gaap_NetAssetValuePerShare" xml:lang="en-US">Net Asset Value, Beginning of Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="lab_us-gaap_NetAssetValuePerShare" xml:lang="en-US">Net Asset Value, End of Period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetAssetValuePerShare" xlink:to="lab_us-gaap_NetAssetValuePerShare" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PercentageOfEarlyDeductionUnitsRepurchased" xlink:label="loc_bxpe_PercentageOfEarlyDeductionUnitsRepurchased" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PercentageOfEarlyDeductionUnitsRepurchased" xml:lang="en-US">Percentage Of Early Deduction Units Repurchased</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PercentageOfEarlyDeductionUnitsRepurchased" xml:lang="en-US">Percentage of early deduction units repurchased</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PercentageOfEarlyDeductionUnitsRepurchased" xlink:to="lab_bxpe_PercentageOfEarlyDeductionUnitsRepurchased" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PercentageOfEarlyDeductionUnitsRepurchased" xml:lang="en-US">Percentage of early deduction units repurchased.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRepurchasedDuringPeriodShares" xlink:label="loc_us-gaap_StockRepurchasedDuringPeriodShares" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodShares" xml:lang="en-US">Stock Repurchased During Period, Shares</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodShares" xml:lang="en-US">Repurchase of Units</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRepurchasedDuringPeriodShares" xlink:to="lab_us-gaap_StockRepurchasedDuringPeriodShares" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRepurchasedDuringPeriodValue" xlink:label="loc_us-gaap_StockRepurchasedDuringPeriodValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodValue" xml:lang="en-US">Stock Repurchased During Period, Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodValue" xml:lang="en-US">Stock repurchased during period, value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRepurchasedDuringPeriodValue" xlink:to="lab_us-gaap_StockRepurchasedDuringPeriodValue" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PercentageOfRedemptionOfUnitsOutstanding" xlink:label="loc_bxpe_PercentageOfRedemptionOfUnitsOutstanding" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PercentageOfRedemptionOfUnitsOutstanding" xml:lang="en-US">Percentage of Redemption of Units Outstanding</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PercentageOfRedemptionOfUnitsOutstanding" xml:lang="en-US">Percentage of redemption of units outstanding</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PercentageOfRedemptionOfUnitsOutstanding" xlink:to="lab_bxpe_PercentageOfRedemptionOfUnitsOutstanding" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PercentageOfRedemptionOfUnitsOutstanding" xml:lang="en-US">Percentage of redemption of units outstanding.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RepurchaseAgreementsMember" xlink:label="loc_us-gaap_RepurchaseAgreementsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RepurchaseAgreementsMember" xml:lang="en-US">Repurchase Agreements [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_RepurchaseAgreementsMember" xml:lang="en-US">Repurchase Agreements [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RepurchaseAgreementsMember" xlink:to="lab_us-gaap_RepurchaseAgreementsMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_FeederMember" xlink:label="loc_bxpe_FeederMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_FeederMember" xml:lang="en-US">Feeder [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_FeederMember" xlink:to="lab_bxpe_FeederMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_FeederMember" xml:lang="en-US">Feeder.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PlanNameAxis" xlink:label="loc_us-gaap_PlanNameAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PlanNameAxis" xml:lang="en-US">Plan Name [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PlanNameAxis" xlink:to="lab_us-gaap_PlanNameAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PlanNameDomain" xlink:label="loc_us-gaap_PlanNameDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PlanNameDomain" xml:lang="en-US">Plan Name [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PlanNameDomain" xlink:to="lab_us-gaap_PlanNameDomain" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ShareRedeemedAxis" xlink:label="loc_bxpe_ShareRedeemedAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ShareRedeemedAxis" xml:lang="en-US">Share Redeemed [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ShareRedeemedAxis" xlink:to="lab_bxpe_ShareRedeemedAxis" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ShareRedeemedDomain" xlink:label="loc_bxpe_ShareRedeemedDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ShareRedeemedDomain" xml:lang="en-US">Share Redeemed [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ShareRedeemedDomain" xlink:to="lab_bxpe_ShareRedeemedDomain" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_RedeemedAgreementMember" xlink:label="loc_bxpe_RedeemedAgreementMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_RedeemedAgreementMember" xml:lang="en-US">Redeemed Agreement [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_RedeemedAgreementMember" xlink:to="lab_bxpe_RedeemedAgreementMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLossCarryforwardsTable" xlink:label="loc_us-gaap_OperatingLossCarryforwardsTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OperatingLossCarryforwardsTable" xml:lang="en-US">Operating Loss Carryforwards [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLossCarryforwardsTable" xlink:to="lab_us-gaap_OperatingLossCarryforwardsTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLossCarryforwardsLineItems" xlink:label="loc_us-gaap_OperatingLossCarryforwardsLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OperatingLossCarryforwardsLineItems" xml:lang="en-US">Operating Loss Carryforwards [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLossCarryforwardsLineItems" xlink:to="lab_us-gaap_OperatingLossCarryforwardsLineItems" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" xlink:label="loc_bxpe_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" xml:lang="en-US">Net Increase in Net Assets Resulting from Operations Before Provision for Taxes</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" xml:lang="en-US">Net Increase in Net Assets Resulting from Operations Before Provision for Taxes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" xlink:to="lab_bxpe_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" xml:lang="en-US">Net increase in net assets resulting from operations before provision for taxes.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DomesticCountryMember" xlink:label="loc_us-gaap_DomesticCountryMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DomesticCountryMember" xml:lang="en-US">Domestic Tax Jurisdiction [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DomesticCountryMember" xml:lang="en-US">United States [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DomesticCountryMember" xlink:to="lab_us-gaap_DomesticCountryMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignCountryMember" xlink:label="loc_us-gaap_ForeignCountryMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ForeignCountryMember" xml:lang="en-US">Foreign Tax Jurisdiction [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ForeignCountryMember" xml:lang="en-US">Foreign [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCountryMember" xlink:to="lab_us-gaap_ForeignCountryMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentFederalStateAndLocalTaxExpenseBenefitAbstract" xlink:label="loc_us-gaap_CurrentFederalStateAndLocalTaxExpenseBenefitAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CurrentFederalStateAndLocalTaxExpenseBenefitAbstract" xml:lang="en-US">Current Federal, State and Local, Tax Expense (Benefit) [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CurrentFederalStateAndLocalTaxExpenseBenefitAbstract" xml:lang="en-US">Current</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CurrentFederalStateAndLocalTaxExpenseBenefitAbstract" xlink:to="lab_us-gaap_CurrentFederalStateAndLocalTaxExpenseBenefitAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentFederalTaxExpenseBenefit" xlink:label="loc_us-gaap_CurrentFederalTaxExpenseBenefit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CurrentFederalTaxExpenseBenefit" xml:lang="en-US">Current Federal Tax Expense (Benefit)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CurrentFederalTaxExpenseBenefit" xml:lang="en-US">Federal Income Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CurrentFederalTaxExpenseBenefit" xlink:to="lab_us-gaap_CurrentFederalTaxExpenseBenefit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:label="loc_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xml:lang="en-US">Current State and Local Tax Expense (Benefit)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xml:lang="en-US">State and Local Income Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:to="lab_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentIncomeTaxExpenseBenefit" xlink:label="loc_us-gaap_CurrentIncomeTaxExpenseBenefit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CurrentIncomeTaxExpenseBenefit" xml:lang="en-US">Current Income Tax Expense (Benefit)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_CurrentIncomeTaxExpenseBenefit" xml:lang="en-US">Current Income Tax Expense (Benefit)</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CurrentIncomeTaxExpenseBenefit" xlink:to="lab_us-gaap_CurrentIncomeTaxExpenseBenefit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefitAbstract" xlink:label="loc_us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefitAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefitAbstract" xml:lang="en-US">Deferred Federal, State and Local, Tax Expense (Benefit) [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefitAbstract" xml:lang="en-US">Deferred</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefitAbstract" xlink:to="lab_us-gaap_DeferredFederalStateAndLocalTaxExpenseBenefitAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredFederalIncomeTaxExpenseBenefit" xlink:label="loc_us-gaap_DeferredFederalIncomeTaxExpenseBenefit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredFederalIncomeTaxExpenseBenefit" xml:lang="en-US">Deferred Federal Income Tax Expense (Benefit)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredFederalIncomeTaxExpenseBenefit" xml:lang="en-US">Federal Income Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredFederalIncomeTaxExpenseBenefit" xlink:to="lab_us-gaap_DeferredFederalIncomeTaxExpenseBenefit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit" xlink:label="loc_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit" xml:lang="en-US">Deferred State and Local Income Tax Expense (Benefit)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit" xml:lang="en-US">State and Local Income Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit" xlink:to="lab_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredIncomeTaxExpenseBenefit" xml:lang="en-US">Deferred Income Tax Expense (Benefit)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_DeferredIncomeTaxExpenseBenefit" xml:lang="en-US">Deferred Income Tax Expense (Benefit)</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:to="lab_us-gaap_DeferredIncomeTaxExpenseBenefit" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_EffectiveIncomeTaxRateReconciliationPassThroughIncomeNotSubjectToTax" xlink:label="loc_bxpe_EffectiveIncomeTaxRateReconciliationPassThroughIncomeNotSubjectToTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_EffectiveIncomeTaxRateReconciliationPassThroughIncomeNotSubjectToTax" xml:lang="en-US">Effective Income Tax Rate Reconciliation Pass Through Income Not Subject To Tax</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_EffectiveIncomeTaxRateReconciliationPassThroughIncomeNotSubjectToTax" xml:lang="en-US">Pass-through Income Not Subject to Income Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_EffectiveIncomeTaxRateReconciliationPassThroughIncomeNotSubjectToTax" xlink:to="lab_bxpe_EffectiveIncomeTaxRateReconciliationPassThroughIncomeNotSubjectToTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_EffectiveIncomeTaxRateReconciliationPassThroughIncomeNotSubjectToTax" xml:lang="en-US">Effective income tax rate reconciliation pass through income not subject to tax.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes" xml:lang="en-US">Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Percent</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes" xml:lang="en-US">State and Local Income Taxes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes" xlink:to="lab_us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateContinuingOperations" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Percent</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateContinuingOperations" xml:lang="en-US">Effective Income Tax Rate</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateContinuingOperations" xml:lang="en-US">Effective tax rate</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations" xlink:to="lab_us-gaap_EffectiveIncomeTaxRateContinuingOperations" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_EffectiveIncomeTaxRateReconciliationBranchProfitTax" xlink:label="loc_bxpe_EffectiveIncomeTaxRateReconciliationBranchProfitTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_EffectiveIncomeTaxRateReconciliationBranchProfitTax" xml:lang="en-US">Effective Income Tax Rate Reconciliation Branch Profit Tax</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_EffectiveIncomeTaxRateReconciliationBranchProfitTax" xml:lang="en-US">Branch Profit Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_EffectiveIncomeTaxRateReconciliationBranchProfitTax" xlink:to="lab_bxpe_EffectiveIncomeTaxRateReconciliationBranchProfitTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_EffectiveIncomeTaxRateReconciliationBranchProfitTax" xml:lang="en-US">Effective income tax rate reconciliation branch profit tax.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Other Adjustments, Percent</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments" xml:lang="en-US">Other</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments" xlink:to="lab_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercent" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercent" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercent" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Other Reconciling Items, Percent</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercent" xml:lang="en-US">Income Not Subject to Income Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercent" xlink:to="lab_us-gaap_EffectiveIncomeTaxRateReconciliationOtherReconcilingItemsPercent" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" xlink:label="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" xml:lang="en-US">Deferred Tax Assets, Operating Loss Carryforwards</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" xml:lang="en-US">Federal and State Net Operating Losses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" xlink:to="lab_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsGross" xlink:label="loc_us-gaap_DeferredTaxAssetsGross" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredTaxAssetsGross" xml:lang="en-US">Deferred Tax Assets, Gross</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_DeferredTaxAssetsGross" xml:lang="en-US">Total Deferred Tax Assets Before Valuation Allowance</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxAssetsGross" xlink:to="lab_us-gaap_DeferredTaxAssetsGross" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsNet" xlink:label="loc_us-gaap_DeferredTaxAssetsNet" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredTaxAssetsNet" xml:lang="en-US">Deferred Tax Assets, Net of Valuation Allowance</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_DeferredTaxAssetsNet" xml:lang="en-US">Total Deferred Tax Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxAssetsNet" xlink:to="lab_us-gaap_DeferredTaxAssetsNet" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxLiabilities" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilities" xml:lang="en-US">Deferred Tax Liabilities, Gross</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilities" xml:lang="en-US">Total Deferred Tax Liabilities</link:label>
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsLiabilitiesNet" xlink:label="loc_us-gaap_DeferredTaxAssetsLiabilitiesNet" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredTaxAssetsLiabilitiesNet" xml:lang="en-US">Deferred Tax Assets, Net</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredTaxAssetsLiabilitiesNet" xml:lang="en-US">Deferred Tax Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxAssetsLiabilitiesNet" xlink:to="lab_us-gaap_DeferredTaxAssetsLiabilitiesNet" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsValuationAllowance" xlink:label="loc_us-gaap_DeferredTaxAssetsValuationAllowance" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredTaxAssetsValuationAllowance" xml:lang="en-US">Deferred Tax Assets, Valuation Allowance</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_DeferredTaxAssetsValuationAllowance" xml:lang="en-US">Valuation Allowance</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredTaxAssetsValuationAllowance" xml:lang="en-US">Valuation Allowance</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxAssetsValuationAllowance" xlink:to="lab_us-gaap_DeferredTaxAssetsValuationAllowance" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DeferredTaxAssetsOutsideBasisDifferenceInUnderlyingPartnership" xlink:label="loc_bxpe_DeferredTaxAssetsOutsideBasisDifferenceInUnderlyingPartnership" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DeferredTaxAssetsOutsideBasisDifferenceInUnderlyingPartnership" xml:lang="en-US">Deferred Tax Assets Outside Basis Difference In Underlying Partnership</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DeferredTaxAssetsOutsideBasisDifferenceInUnderlyingPartnership" xml:lang="en-US">Outside Basis Difference in Underlying Partnership</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DeferredTaxAssetsOutsideBasisDifferenceInUnderlyingPartnership" xlink:to="lab_bxpe_DeferredTaxAssetsOutsideBasisDifferenceInUnderlyingPartnership" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DeferredTaxAssetsOutsideBasisDifferenceInUnderlyingPartnership" xml:lang="en-US">Deferred tax assets outside basis difference in underlying partnership.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DeferredTaxLiabilitiesOutsideBasisDifferenceInUnderlyingPartnership" xlink:label="loc_bxpe_DeferredTaxLiabilitiesOutsideBasisDifferenceInUnderlyingPartnership" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DeferredTaxLiabilitiesOutsideBasisDifferenceInUnderlyingPartnership" xml:lang="en-US">Deferred Tax Liabilities Outside Basis Difference In Underlying Partnership</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DeferredTaxLiabilitiesOutsideBasisDifferenceInUnderlyingPartnership" xml:lang="en-US">Outside Basis Difference in Underlying Partnership</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DeferredTaxLiabilitiesOutsideBasisDifferenceInUnderlyingPartnership" xlink:to="lab_bxpe_DeferredTaxLiabilitiesOutsideBasisDifferenceInUnderlyingPartnership" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DeferredTaxLiabilitiesOutsideBasisDifferenceInUnderlyingPartnership" xml:lang="en-US">Deferred tax liabilities outside basis difference in underlying partnership.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLossCarryforwards" xlink:label="loc_us-gaap_OperatingLossCarryforwards" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OperatingLossCarryforwards" xml:lang="en-US">Operating Loss Carryforwards</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OperatingLossCarryforwards" xml:lang="en-US">Operating Loss Carryforwards</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLossCarryforwards" xlink:to="lab_us-gaap_OperatingLossCarryforwards" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ProvisionForIncomeTaxes" xlink:label="loc_bxpe_ProvisionForIncomeTaxes" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ProvisionForIncomeTaxes" xml:lang="en-US">Provision For Income Taxes</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ProvisionForIncomeTaxes" xml:lang="en-US">Provision for income taxes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ProvisionForIncomeTaxes" xlink:to="lab_bxpe_ProvisionForIncomeTaxes" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ProvisionForIncomeTaxes" xml:lang="en-US">Provision for income taxes.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StateAndLocalJurisdictionMember" xlink:label="loc_us-gaap_StateAndLocalJurisdictionMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StateAndLocalJurisdictionMember" xml:lang="en-US">State and Local Jurisdiction [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StateAndLocalJurisdictionMember" xlink:to="lab_us-gaap_StateAndLocalJurisdictionMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DealerManagerMember" xlink:label="loc_bxpe_DealerManagerMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DealerManagerMember" xml:lang="en-US">Dealer Manager [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DealerManagerMember" xml:lang="en-US">Dealer Manager [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DealerManagerMember" xlink:to="lab_bxpe_DealerManagerMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DealerManagerMember" xml:lang="en-US">Dealer manager.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DealerManagerAgreementMember" xlink:label="loc_bxpe_DealerManagerAgreementMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DealerManagerAgreementMember" xml:lang="en-US">Dealer Manager Agreement [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DealerManagerAgreementMember" xml:lang="en-US">Dealer Manager Agreement [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DealerManagerAgreementMember" xlink:to="lab_bxpe_DealerManagerAgreementMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DealerManagerAgreementMember" xml:lang="en-US">Dealer manager agreement.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PercentageOfPerformanceParticipationAllocation" xlink:label="loc_bxpe_PercentageOfPerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PercentageOfPerformanceParticipationAllocation" xml:lang="en-US">Percentage Of Performance Participation Allocation</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PercentageOfPerformanceParticipationAllocation" xml:lang="en-US">Percentage of performance participation allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PercentageOfPerformanceParticipationAllocation" xlink:to="lab_bxpe_PercentageOfPerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PercentageOfPerformanceParticipationAllocation" xml:lang="en-US">Percentage of performance participation allocation.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PercentageOfAnnualHurdleAmount" xlink:label="loc_bxpe_PercentageOfAnnualHurdleAmount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PercentageOfAnnualHurdleAmount" xml:lang="en-US">Percentage Of Annual Hurdle Amount</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PercentageOfAnnualHurdleAmount" xml:lang="en-US">Percentage of annual hurdle amount</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PercentageOfAnnualHurdleAmount" xlink:to="lab_bxpe_PercentageOfAnnualHurdleAmount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PercentageOfAnnualHurdleAmount" xml:lang="en-US">Percentage of annual hurdle amount.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionRate" xlink:label="loc_us-gaap_RelatedPartyTransactionRate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionRate" xml:lang="en-US">Related Party Transaction, Rate</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_RelatedPartyTransactionRate" xml:lang="en-US">Related party transaction, rate</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionRate" xlink:to="lab_us-gaap_RelatedPartyTransactionRate" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PercentageOfAnnualRateOnMonthlyServicingFee" xlink:label="loc_bxpe_PercentageOfAnnualRateOnMonthlyServicingFee" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PercentageOfAnnualRateOnMonthlyServicingFee" xml:lang="en-US">Percentage Of Annual Rate On Monthly Servicing Fee</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PercentageOfAnnualRateOnMonthlyServicingFee" xml:lang="en-US">Percentage of annual rate on monthly servicing fee</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PercentageOfAnnualRateOnMonthlyServicingFee" xlink:to="lab_bxpe_PercentageOfAnnualRateOnMonthlyServicingFee" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PercentageOfAnnualRateOnMonthlyServicingFee" xml:lang="en-US">Percentage of annual rate on monthly servicing fee.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PercentageOfManagementFeeOfEntityNetAssetValue" xlink:label="loc_bxpe_PercentageOfManagementFeeOfEntityNetAssetValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PercentageOfManagementFeeOfEntityNetAssetValue" xml:lang="en-US">Percentage Of Management Fee Of Entity Net Asset Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PercentageOfManagementFeeOfEntityNetAssetValue" xml:lang="en-US">Percentage of management fee of entity net asset value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PercentageOfManagementFeeOfEntityNetAssetValue" xlink:to="lab_bxpe_PercentageOfManagementFeeOfEntityNetAssetValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PercentageOfManagementFeeOfEntityNetAssetValue" xml:lang="en-US">Percentage of management fee of entity net asset value.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AdministrationFeePayableRate" xlink:label="loc_bxpe_AdministrationFeePayableRate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AdministrationFeePayableRate" xml:lang="en-US">Administration Fee Payable Rate</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_AdministrationFeePayableRate" xml:lang="en-US">Administration fee payable rate</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AdministrationFeePayableRate" xlink:to="lab_bxpe_AdministrationFeePayableRate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AdministrationFeePayableRate" xml:lang="en-US">Administration fee payable rate.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PerformanceParticipationAllocation" xlink:label="loc_bxpe_PerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PerformanceParticipationAllocation" xml:lang="en-US">Performance Participation Allocation</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PerformanceParticipationAllocation" xml:lang="en-US">Performance participation allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PerformanceParticipationAllocation" xlink:to="lab_bxpe_PerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PerformanceParticipationAllocation" xml:lang="en-US">Performance participation allocation.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_GrossManagementFee" xlink:label="loc_bxpe_GrossManagementFee" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_GrossManagementFee" xml:lang="en-US">Gross Management Fee</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_GrossManagementFee" xml:lang="en-US">Gross management fee</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_GrossManagementFee" xlink:to="lab_bxpe_GrossManagementFee" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_GrossManagementFee" xml:lang="en-US">Gross management fee.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AdministrationFeePayable" xlink:label="loc_bxpe_AdministrationFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AdministrationFeePayable" xml:lang="en-US">Administration Fee Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_AdministrationFeePayable" xml:lang="en-US">Administration fee payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AdministrationFeePayable" xlink:to="lab_bxpe_AdministrationFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AdministrationFeePayable" xml:lang="en-US">Administration fee payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AccruedAdministrationFees" xlink:label="loc_bxpe_AccruedAdministrationFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AccruedAdministrationFees" xml:lang="en-US">Accrued Administration Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_AccruedAdministrationFees" xml:lang="en-US">Accrued administration fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AccruedAdministrationFees" xlink:to="lab_bxpe_AccruedAdministrationFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AccruedAdministrationFees" xml:lang="en-US">Accrued administration fees.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentsInAffliatedInvesteeFunds" xlink:label="loc_bxpe_InvestmentsInAffliatedInvesteeFunds" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentsInAffliatedInvesteeFunds" xml:lang="en-US">Investments In Affliated Investee Funds</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_InvestmentsInAffliatedInvesteeFunds" xml:lang="en-US">Investments in affliated investee funds</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentsInAffliatedInvesteeFunds" xlink:to="lab_bxpe_InvestmentsInAffliatedInvesteeFunds" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentsInAffliatedInvesteeFunds" xml:lang="en-US">Investments in affliated investee funds.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AccruedWaivedExpenses" xlink:label="loc_bxpe_AccruedWaivedExpenses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AccruedWaivedExpenses" xml:lang="en-US">Accrued Waived Expenses</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_AccruedWaivedExpenses" xml:lang="en-US">Accrued waived expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AccruedWaivedExpenses" xlink:to="lab_bxpe_AccruedWaivedExpenses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AccruedWaivedExpenses" xml:lang="en-US">Accrued waived expenses.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xlink:label="loc_bxpe_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xml:lang="en-US">Specified Expenses As A Percentage Of Net Asset Value Maximum</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xml:lang="en-US">Specified expenses as a percentage of net asset value maximum</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xlink:to="lab_bxpe_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xml:lang="en-US">Specified expenses as a percentage of net asset value maximum.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AggregateInvestmentPurchasePrice" xlink:label="loc_bxpe_AggregateInvestmentPurchasePrice" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AggregateInvestmentPurchasePrice" xml:lang="en-US">Aggregate Investment Purchase Price</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_AggregateInvestmentPurchasePrice" xml:lang="en-US">Aggregate investment purchase price</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AggregateInvestmentPurchasePrice" xlink:to="lab_bxpe_AggregateInvestmentPurchasePrice" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AggregateInvestmentPurchasePrice" xml:lang="en-US">Aggregate investment purchase price.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentCompanySellPrice" xlink:label="loc_bxpe_InvestmentCompanySellPrice" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentCompanySellPrice" xml:lang="en-US">Investment Company Sell Price</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_InvestmentCompanySellPrice" xml:lang="en-US">Investment company sell price</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentCompanySellPrice" xlink:to="lab_bxpe_InvestmentCompanySellPrice" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentCompanySellPrice" xml:lang="en-US">Investment company sell price.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AggregatorTransactionalNAV" xlink:label="loc_bxpe_AggregatorTransactionalNAV" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AggregatorTransactionalNAV" xml:lang="en-US">Aggregator Transactional NAV</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_AggregatorTransactionalNAV" xml:lang="en-US">Aggregator transactional NAV</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AggregatorTransactionalNAV" xlink:to="lab_bxpe_AggregatorTransactionalNAV" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AggregatorTransactionalNAV" xml:lang="en-US">Aggregator transactional NAV.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" xlink:label="loc_us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" xml:lang="en-US">Investment Company, Management Fee, Voluntary Fee Waived</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" xml:lang="en-US">Investment company management fee voluntary fee waived</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" xlink:to="lab_us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_CapitalCommitments" xlink:label="loc_bxpe_CapitalCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_CapitalCommitments" xml:lang="en-US">Capital commitments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_CapitalCommitments" xml:lang="en-US">Capital commitments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_CapitalCommitments" xlink:to="lab_bxpe_CapitalCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_CapitalCommitments" xml:lang="en-US">Capital commitments.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_CashProceedsFromRelatedParty" xlink:label="loc_bxpe_CashProceedsFromRelatedParty" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_CashProceedsFromRelatedParty" xml:lang="en-US">Cash proceeds from related party</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_CashProceedsFromRelatedParty" xml:lang="en-US">Cash proceeds from related party</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_CashProceedsFromRelatedParty" xlink:to="lab_bxpe_CashProceedsFromRelatedParty" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_CashProceedsFromRelatedParty" xml:lang="en-US">Cash proceeds from related party.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AccruedPerformanceParticipationAllocation" xlink:label="loc_bxpe_AccruedPerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AccruedPerformanceParticipationAllocation" xml:lang="en-US">Accrued Performance Participation Allocation</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_AccruedPerformanceParticipationAllocation" xml:lang="en-US">Accrued performance participation allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AccruedPerformanceParticipationAllocation" xlink:to="lab_bxpe_AccruedPerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AccruedPerformanceParticipationAllocation" xml:lang="en-US">Accrued performance participation allocation.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ExchangeOfClassEquity" xlink:label="loc_bxpe_ExchangeOfClassEquity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ExchangeOfClassEquity" xml:lang="en-US">Exchange Of Class Equity</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ExchangeOfClassEquity" xml:lang="en-US">Exchange of class equity</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ExchangeOfClassEquity" xlink:to="lab_bxpe_ExchangeOfClassEquity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ExchangeOfClassEquity" xml:lang="en-US">Exchange of class equity.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AmountOfReceiveOfAccruedPerformanceParticipationAllocation" xlink:label="loc_bxpe_AmountOfReceiveOfAccruedPerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AmountOfReceiveOfAccruedPerformanceParticipationAllocation" xml:lang="en-US">Amount Of Receive Of Accrued Performance Participation Allocation</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_AmountOfReceiveOfAccruedPerformanceParticipationAllocation" xml:lang="en-US">Amount of receive of accrued performance participation allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AmountOfReceiveOfAccruedPerformanceParticipationAllocation" xlink:to="lab_bxpe_AmountOfReceiveOfAccruedPerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AmountOfReceiveOfAccruedPerformanceParticipationAllocation" xml:lang="en-US">Amount of receive of accrued performance participation allocation.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ContributedOfEquityOfIntermediate" xlink:label="loc_bxpe_ContributedOfEquityOfIntermediate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ContributedOfEquityOfIntermediate" xml:lang="en-US">Contributed Of Equity Of Intermediate</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ContributedOfEquityOfIntermediate" xml:lang="en-US">Contributed of equity of intermediate</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ContributedOfEquityOfIntermediate" xlink:to="lab_bxpe_ContributedOfEquityOfIntermediate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ContributedOfEquityOfIntermediate" xml:lang="en-US">Contributed of equity of intermediate.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyManagementFeeWaived" xlink:label="loc_us-gaap_InvestmentCompanyManagementFeeWaived" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyManagementFeeWaived" xml:lang="en-US">Investment Company, Management Fee Waived</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyManagementFeeWaived" xml:lang="en-US">Investment company, management fee waived</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyManagementFeeWaived" xlink:to="lab_us-gaap_InvestmentCompanyManagementFeeWaived" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_PaymentsForPurchaseOfEquity" xlink:label="loc_bxpe_PaymentsForPurchaseOfEquity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_PaymentsForPurchaseOfEquity" xml:lang="en-US">Payments For Purchase Of Equity</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_PaymentsForPurchaseOfEquity" xml:lang="en-US">Payments for purchase of equity</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_PaymentsForPurchaseOfEquity" xlink:to="lab_bxpe_PaymentsForPurchaseOfEquity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_PaymentsForPurchaseOfEquity" xml:lang="en-US">Payments for purchase of equity.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentsInDebtAndOtherSecurities" xlink:label="loc_bxpe_InvestmentsInDebtAndOtherSecurities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentsInDebtAndOtherSecurities" xml:lang="en-US">Investments In Debt And Other Securities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_InvestmentsInDebtAndOtherSecurities" xml:lang="en-US">Investments in debt and other securities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentsInDebtAndOtherSecurities" xlink:to="lab_bxpe_InvestmentsInDebtAndOtherSecurities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentsInDebtAndOtherSecurities" xml:lang="en-US">Investments in debt and other securities.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ClassSMember" xlink:label="loc_bxpe_ClassSMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ClassSMember" xml:lang="en-US">Class S [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ClassSMember" xlink:to="lab_bxpe_ClassSMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ClassSMember" xml:lang="en-US">Class S.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ClassDMember" xlink:label="loc_bxpe_ClassDMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ClassDMember" xml:lang="en-US">Class D [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ClassDMember" xlink:to="lab_bxpe_ClassDMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ClassDMember" xml:lang="en-US">Class d member.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ClassIMember" xlink:label="loc_bxpe_ClassIMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ClassIMember" xml:lang="en-US">Class I [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ClassIMember" xlink:to="lab_bxpe_ClassIMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ClassIMember" xml:lang="en-US">Class i member.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ConsolidatedEntitiesAxis" xlink:label="loc_srt_ConsolidatedEntitiesAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_ConsolidatedEntitiesAxis" xml:lang="en-US">Consolidated Entities [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ConsolidatedEntitiesAxis" xlink:to="lab_srt_ConsolidatedEntitiesAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ConsolidatedEntitiesDomain" xlink:label="loc_srt_ConsolidatedEntitiesDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_ConsolidatedEntitiesDomain" xml:lang="en-US">Consolidated Entities [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ConsolidatedEntitiesDomain" xlink:to="lab_srt_ConsolidatedEntitiesDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:label="loc_us-gaap_RelatedPartyTransactionAmountsOfTransaction" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xml:lang="en-US">Related Party Transaction, Amounts of Transaction</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xml:lang="en-US">Related party transaction, amounts of transaction</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:to="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredOfferingCosts" xlink:label="loc_us-gaap_DeferredOfferingCosts" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredOfferingCosts" xml:lang="en-US">Deferred Offering Costs</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredOfferingCosts" xml:lang="en-US">Deferred offering costs</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredOfferingCosts" xlink:to="lab_us-gaap_DeferredOfferingCosts" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_DeferredExpenseAmortizationPeriod" xlink:label="loc_bxpe_DeferredExpenseAmortizationPeriod" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_DeferredExpenseAmortizationPeriod" xml:lang="en-US">Deferred Expense Amortization Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_DeferredExpenseAmortizationPeriod" xml:lang="en-US">Deferred expense amortization period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_DeferredExpenseAmortizationPeriod" xlink:to="lab_bxpe_DeferredExpenseAmortizationPeriod" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_DeferredExpenseAmortizationPeriod" xml:lang="en-US">Deferred expense amortization period.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_UnfundedInvestmentCommitments" xlink:label="loc_bxpe_UnfundedInvestmentCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_UnfundedInvestmentCommitments" xml:lang="en-US">Unfunded Investment Commitments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_UnfundedInvestmentCommitments" xml:lang="en-US">Unfunded investment commitments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_UnfundedInvestmentCommitments" xlink:to="lab_bxpe_UnfundedInvestmentCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_UnfundedInvestmentCommitments" xml:lang="en-US">Unfunded investment commitments.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ConditionalInvestmentCommitments" xlink:label="loc_bxpe_ConditionalInvestmentCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ConditionalInvestmentCommitments" xml:lang="en-US">Conditional Investment Commitments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_ConditionalInvestmentCommitments" xml:lang="en-US">Conditional investment commitments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ConditionalInvestmentCommitments" xlink:to="lab_bxpe_ConditionalInvestmentCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ConditionalInvestmentCommitments" xml:lang="en-US">Conditional investment commitments.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_OtherUnfundedCommitments" xlink:label="loc_bxpe_OtherUnfundedCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_OtherUnfundedCommitments" xml:lang="en-US">Other Unfunded Commitments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_OtherUnfundedCommitments" xml:lang="en-US">Other unfunded commitments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_OtherUnfundedCommitments" xlink:to="lab_bxpe_OtherUnfundedCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_OtherUnfundedCommitments" xml:lang="en-US">Other unfunded commitments.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentManagerMember" xlink:label="loc_bxpe_InvestmentManagerMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentManagerMember" xml:lang="en-US">Investment Manager [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_InvestmentManagerMember" xml:lang="en-US">Investment Manager [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentManagerMember" xlink:to="lab_bxpe_InvestmentManagerMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentManagerMember" xml:lang="en-US">Investment manager.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionAxis" xlink:label="loc_us-gaap_RelatedPartyTransactionAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionAxis" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionAxis" xlink:to="lab_us-gaap_RelatedPartyTransactionAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionDomain" xlink:label="loc_us-gaap_RelatedPartyTransactionDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionDomain" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain" xlink:to="lab_us-gaap_RelatedPartyTransactionDomain" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_OfferingExpensesMember" xlink:label="loc_bxpe_OfferingExpensesMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_OfferingExpensesMember" xml:lang="en-US">Offering Expenses [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_OfferingExpensesMember" xml:lang="en-US">Offering Expenses [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_OfferingExpensesMember" xlink:to="lab_bxpe_OfferingExpensesMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_OfferingExpensesMember" xml:lang="en-US">Offering expenses.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_OrganizationalExpensesMember" xlink:label="loc_bxpe_OrganizationalExpensesMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_OrganizationalExpensesMember" xml:lang="en-US">Organizational Expenses [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_OrganizationalExpensesMember" xml:lang="en-US">Organizational Expenses [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_OrganizationalExpensesMember" xlink:to="lab_bxpe_OrganizationalExpensesMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_OrganizationalExpensesMember" xml:lang="en-US">Organizational expenses.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" xml:lang="en-US">Investment Company, Investment Income (Loss) from Operations, Per Share [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" xml:lang="en-US">Per Unit Data</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xlink:label="loc_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xml:lang="en-US">Investment Company, Share Issuance, Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xml:lang="en-US">Proceeds from Units Issued</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xlink:to="lab_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xml:lang="en-US">Investment Company, Investment Income (Loss), Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xml:lang="en-US">Net Investment Income (Loss)</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:label="loc_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xml:lang="en-US">Investment Company, Gain (Loss) on Investment, Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Investment in the Aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:to="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentCompanyServicingFeesPerShare" xlink:label="loc_bxpe_InvestmentCompanyServicingFeesPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentCompanyServicingFeesPerShare" xml:lang="en-US">Investment Company Servicing Fees Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxpe_InvestmentCompanyServicingFeesPerShare" xml:lang="en-US">Servicing Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentCompanyServicingFeesPerShare" xlink:to="lab_bxpe_InvestmentCompanyServicingFeesPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentCompanyServicingFeesPerShare" xml:lang="en-US">Investment company servicing fees per share.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xml:lang="en-US">Investment Company, Investment Income (Loss) from Operations, Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xml:lang="en-US">Net Increase in Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockSharesOutstanding" xlink:label="loc_us-gaap_CommonStockSharesOutstanding" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xml:lang="en-US">Common Stock, Shares, Outstanding</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xml:lang="en-US">Units Outstanding, End of Period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockSharesOutstanding" xlink:to="lab_us-gaap_CommonStockSharesOutstanding" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyTotalReturn" xlink:label="loc_us-gaap_InvestmentCompanyTotalReturn" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturn" xml:lang="en-US">Investment Company, Total Return</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturn" xml:lang="en-US">Total Return Based on Net Asset Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyTotalReturn" xlink:to="lab_us-gaap_InvestmentCompanyTotalReturn" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_NetIncreaseInNetAssetsResultingFromInvestmentOperationsPerShare" xlink:label="loc_bxpe_NetIncreaseInNetAssetsResultingFromInvestmentOperationsPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_NetIncreaseInNetAssetsResultingFromInvestmentOperationsPerShare" xml:lang="en-US">Net Increase In Net Assets Resulting From Investment Operations Per share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxpe_NetIncreaseInNetAssetsResultingFromInvestmentOperationsPerShare" xml:lang="en-US">Net Increase in Net Assets Resulting from Investment Operations</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_NetIncreaseInNetAssetsResultingFromInvestmentOperationsPerShare" xlink:to="lab_bxpe_NetIncreaseInNetAssetsResultingFromInvestmentOperationsPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_NetIncreaseInNetAssetsResultingFromInvestmentOperationsPerShare" xml:lang="en-US">Net increase in net assets resulting from investment operations per share.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyFinancialRatiosAbstract" xlink:label="loc_us-gaap_InvestmentCompanyFinancialRatiosAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyFinancialRatiosAbstract" xml:lang="en-US">Investment Company, Financial Ratios [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyFinancialRatiosAbstract" xml:lang="en-US">Ratios to Weighted-Average Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialRatiosAbstract" xlink:to="lab_us-gaap_InvestmentCompanyFinancialRatiosAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyExpenseRatioBeforeIncentiveAllocation" xlink:label="loc_us-gaap_InvestmentCompanyExpenseRatioBeforeIncentiveAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioBeforeIncentiveAllocation" xml:lang="en-US">Investment Company, Expense Ratio before Incentive Allocation</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioBeforeIncentiveAllocation" xml:lang="en-US">Expenses without Waivers</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseRatioBeforeIncentiveAllocation" xlink:to="lab_us-gaap_InvestmentCompanyExpenseRatioBeforeIncentiveAllocation" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xlink:label="loc_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xml:lang="en-US">Investment Company, Expense Ratio, after Voluntary Fee Waiver Deduction</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xml:lang="en-US">Warehousing Fees Waivers</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xlink:to="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_InvestmentCompanyExpenseRatio" xlink:label="loc_bxpe_InvestmentCompanyExpenseRatio" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_InvestmentCompanyExpenseRatio" xml:lang="en-US">Investment Company Expense Ratio</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxpe_InvestmentCompanyExpenseRatio" xml:lang="en-US">Total Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_InvestmentCompanyExpenseRatio" xlink:to="lab_bxpe_InvestmentCompanyExpenseRatio" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_InvestmentCompanyExpenseRatio" xml:lang="en-US">Investment company expense ratio.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xml:lang="en-US">Investment Company, Investment Income (Loss) Ratio</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xml:lang="en-US">Net Investment Income (Loss)</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xlink:label="loc_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xml:lang="en-US">Investment Company, Expense Ratio after Incentive Allocation</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xml:lang="en-US">Accrued Performance Participation Allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xlink:to="lab_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ClassAMember" xlink:label="loc_bxpe_ClassAMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ClassAMember" xml:lang="en-US">Class A [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ClassAMember" xlink:to="lab_bxpe_ClassAMember" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_ClassNMember" xlink:label="loc_bxpe_ClassNMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_ClassNMember" xml:lang="en-US">Class N [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_ClassNMember" xlink:to="lab_bxpe_ClassNMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_ClassNMember" xml:lang="en-US">Class n member.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventTypeAxis" xlink:label="loc_us-gaap_SubsequentEventTypeAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SubsequentEventTypeAxis" xml:lang="en-US">Subsequent Event Type [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTypeAxis" xlink:to="lab_us-gaap_SubsequentEventTypeAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventTypeDomain" xlink:label="loc_us-gaap_SubsequentEventTypeDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SubsequentEventTypeDomain" xml:lang="en-US">Subsequent Event Type [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTypeDomain" xlink:to="lab_us-gaap_SubsequentEventTypeDomain" />
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AgreementNameAxis" xlink:label="loc_bxpe_AgreementNameAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AgreementNameAxis" xml:lang="en-US">Agreement Name [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AgreementNameAxis" xlink:to="lab_bxpe_AgreementNameAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AgreementNameAxis" xml:lang="en-US">Agreement name.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxpe-20251231.xsd#bxpe_AgreementNameDomain" xlink:label="loc_bxpe_AgreementNameDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxpe_AgreementNameDomain" xml:lang="en-US">Agreement Name [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxpe_AgreementNameDomain" xlink:to="lab_bxpe_AgreementNameDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxpe_AgreementNameDomain" xml:lang="en-US">Agreement name.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventDescription" xlink:label="loc_us-gaap_SubsequentEventDescription" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SubsequentEventDescription" xml:lang="en-US">Subsequent Event, Description</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_SubsequentEventDescription" xml:lang="en-US">Subsequent event, description</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventDescription" xlink:to="lab_us-gaap_SubsequentEventDescription" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RetirementPlanFundingStatusAxis" xlink:label="loc_us-gaap_RetirementPlanFundingStatusAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RetirementPlanFundingStatusAxis" xml:lang="en-US">Defined Benefit Plan, Funding Status [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RetirementPlanFundingStatusAxis" xlink:to="lab_us-gaap_RetirementPlanFundingStatusAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RetirementPlanFundingStatusDomain" xlink:label="loc_us-gaap_RetirementPlanFundingStatusDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RetirementPlanFundingStatusDomain" xml:lang="en-US">Defined Benefit Plan, Funding Status [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RetirementPlanFundingStatusDomain" xlink:to="lab_us-gaap_RetirementPlanFundingStatusDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis" xlink:label="loc_us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis" xml:lang="en-US">Defined Benefit Plan, Plan Assets, Category [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis" xlink:to="lab_us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PlanAssetCategoriesDomain" xlink:label="loc_us-gaap_PlanAssetCategoriesDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PlanAssetCategoriesDomain" xml:lang="en-US">Defined Benefit Plan, Plan Assets, Category [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PlanAssetCategoriesDomain" xlink:to="lab_us-gaap_PlanAssetCategoriesDomain" />
        </link:labelLink>
      </link:linkbase>
    </appinfo>
  </annotation>
  <import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" />
  <import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" />
  <import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd" />
  <import namespace="http://fasb.org/us-gaap/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/country/2025" schemaLocation="https://xbrl.sec.gov/country/2025/country-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/currency/2025" schemaLocation="https://xbrl.sec.gov/currency/2025/currency-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/exch/2025" schemaLocation="https://xbrl.sec.gov/exch/2025/exch-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/naics/2025" schemaLocation="https://xbrl.sec.gov/naics/2025/naics-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/sic/2025" schemaLocation="https://xbrl.sec.gov/sic/2025/sic-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/stpr/2025" schemaLocation="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd" />
  <import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd" />
  <import namespace="http://www.xbrl.org/2009/role/net" schemaLocation="http://www.xbrl.org/lrr/role/net-2009-12-16.xsd" />
  <import namespace="http://www.xbrl.org/2009/arcrole/fact-explanatoryFact" schemaLocation="http://www.xbrl.org/lrr/arcrole/factExplanatory-2009-12-16.xsd" />
  <import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd" />
  <import namespace="http://fasb.org/us-types/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-types-2025.xsd" />
  <import namespace="http://fasb.org/srt-types/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-types-2025.xsd" />
  <import namespace="http://fasb.org/srt/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/ecd-sub/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-sub-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/ecd/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd" />
  <import namespace="http://www.xbrl.org/2006/ref" schemaLocation="http://www.xbrl.org/2006/ref-2006-02-27.xsd" />
  <import namespace="http://fasb.org/srt-roles/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-roles-2025.xsd" />
  <import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd" />
  <import namespace="http://xbrl.sec.gov/cyd-af-sub/2025" schemaLocation="https://xbrl.sec.gov/cyd/2025/cyd-af-sub-2025.xsd" />
  <element name="ClassSUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ClassSUnitsMember" substitutionGroup="xbrli:item" />
  <element name="ClassDUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ClassDUnitsMember" substitutionGroup="xbrli:item" />
  <element name="ClassIUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ClassIUnitsMember" substitutionGroup="xbrli:item" />
  <element name="ClassNUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ClassNUnitsMember" substitutionGroup="xbrli:item" />
  <element name="BlackstonePrivateEquityStrategiesFundTELPMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_BlackstonePrivateEquityStrategiesFundTELPMember" substitutionGroup="xbrli:item" />
  <element name="DueFromAffiliate" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_DueFromAffiliate" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="Redemptionsreceivable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_Redemptionsreceivable" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="InterestAndDividendReceivableAndotherAssets" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_InterestAndDividendReceivableAndotherAssets" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="ServicingFeesPayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_ServicingFeesPayable" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="AdministrationFeesPayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_AdministrationFeesPayable" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="Redemptionspayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_Redemptionspayable" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="NetAssetsAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_NetAssetsAbstract" substitutionGroup="xbrli:item" />
  <element name="BXPEUSAggregatorCYMLPMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_BXPEUSAggregatorCYMLPMember" substitutionGroup="xbrli:item" />
  <element name="DerivativeLiabilityAtCost" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_DerivativeLiabilityAtCost" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="DerivativeAssetAtCost" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_DerivativeAssetAtCost" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="WarehousingFees" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_WarehousingFees" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="DeferredOfferingCostsAmortization" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_DeferredOfferingCostsAmortization" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="OtherExpensesAndLosses" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_OtherExpensesAndLosses" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="DeferredFinancingCostAmortization" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_DeferredFinancingCostAmortization" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="ExpenseSupport" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_ExpenseSupport" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="WarehousingFeesWaived" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_WarehousingFeesWaived" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="ServicingFees" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_ServicingFees" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="GeneralPartnerInterestMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_GeneralPartnerInterestMember" substitutionGroup="xbrli:item" />
  <element name="ClassAUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ClassAUnitsMember" substitutionGroup="xbrli:item" />
  <element name="ClassBUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ClassBUnitsMember" substitutionGroup="xbrli:item" />
  <element name="IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="InvestmentInBxpeUsAggregator" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentInBxpeUsAggregator" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="InvestmentInTheAggregator" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentInTheAggregator" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="IncreaseDecreaseInAccruedPerformanceParticipationAllocation" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="IncreaseDecreaseInInterestAndDividendReceivableAndOtherAssets" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_IncreaseDecreaseInInterestAndDividendReceivableAndOtherAssets" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="IncreaseDecreaseInDeferredTaxAssets" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_IncreaseDecreaseInDeferredTaxAssets" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="PaymentForServicingFees" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PaymentForServicingFees" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="PaymentForDeductionReceivedFromTheFeeder" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PaymentForDeductionReceivedFromTheFeeder" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="PaymentForDeductionReceivedFromBXPEUS" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PaymentForDeductionReceivedFromBXPEUS" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivities" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivities" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="NonCashDirectorsFees" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_NonCashDirectorsFees" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="AccruedServicingFees" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_AccruedServicingFees" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="RedemptionDeductionPaybleToBXPEUS" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_RedemptionDeductionPaybleToBXPEUS" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivitiesOnNonCashInvestingAndFinancingActivities" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_RedemptionOfUnitsNetOfEarlyRedemptionDeductionOnFinancingActivitiesOnNonCashInvestingAndFinancingActivities" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="RedemptionDeductionReceivableFromBlackstonePrivateEquityStrategiesFund" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_RedemptionDeductionReceivableFromBlackstonePrivateEquityStrategiesFund" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="RedemptionofUnitsOnNonCashFinancingActivities" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_RedemptionofUnitsOnNonCashFinancingActivities" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="DebtSecurityByIndustryAxis" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_DebtSecurityByIndustryAxis" substitutionGroup="xbrldt:dimensionItem" />
  <element name="DebtSecurityByIndustryDomain" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_DebtSecurityByIndustryDomain" substitutionGroup="xbrli:item" />
  <element name="InvestorAxis" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_InvestorAxis" substitutionGroup="xbrldt:dimensionItem" />
  <element name="InvestorDomain" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_InvestorDomain" substitutionGroup="xbrli:item" />
  <element name="AccountingPoliciesTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_AccountingPoliciesTable" substitutionGroup="xbrldt:hypercubeItem" />
  <element name="AccountingPoliciesLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_AccountingPoliciesLineItems" substitutionGroup="xbrli:item" />
  <element name="InvestmentInTheAggregatorAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentInTheAggregatorAbstract" substitutionGroup="xbrli:item" />
  <element name="InvestmentInTheAggregatorTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentInTheAggregatorTable" substitutionGroup="xbrldt:hypercubeItem" />
  <element name="InvestmentInTheAggregatorLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentInTheAggregatorLineItems" substitutionGroup="xbrli:item" />
  <element name="InvestmentInTheAggregatorTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentInTheAggregatorTextBlock" substitutionGroup="xbrli:item" />
  <element name="NetAssetAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_NetAssetAbstract" substitutionGroup="xbrli:item" />
  <element name="NetAssetTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_NetAssetTable" substitutionGroup="xbrldt:hypercubeItem" />
  <element name="NetAssetLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_NetAssetLineItems" substitutionGroup="xbrli:item" />
  <element name="NetAssetTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_NetAssetTextBlock" substitutionGroup="xbrli:item" />
  <element name="CommitmentsAndContingenciesDisclosureTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_CommitmentsAndContingenciesDisclosureTable" substitutionGroup="xbrldt:hypercubeItem" />
  <element name="CommitmentsAndContingenciesDisclosureLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_CommitmentsAndContingenciesDisclosureLineItems" substitutionGroup="xbrli:item" />
  <element name="FairValueOfFinancialInstrumentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_FairValueOfFinancialInstrumentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" substitutionGroup="xbrli:item" />
  <element name="RealizedAndUnrealizedGainLossOnPolicyTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_RealizedAndUnrealizedGainLossOnPolicyTextBlock" substitutionGroup="xbrli:item" />
  <element name="ExpenseSupportPolicyTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_ExpenseSupportPolicyTextBlock" substitutionGroup="xbrli:item" />
  <element name="OrganizationalAndOfferingExpensesPolicyTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_OrganizationalAndOfferingExpensesPolicyTextBlock" substitutionGroup="xbrli:item" />
  <element name="DerivativeInstrumentsPolicyTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_DerivativeInstrumentsPolicyTextBlock" substitutionGroup="xbrli:item" />
  <element name="AffiliatesPolicyTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_AffiliatesPolicyTextBlock" substitutionGroup="xbrli:item" />
  <element name="ManagementFeesOffsetAndWaivedPolicyTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_ManagementFeesOffsetAndWaivedPolicyTextBlock" substitutionGroup="xbrli:item" />
  <element name="DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" substitutionGroup="xbrli:item" />
  <element name="AmortizedTermOfDeferredExpensesIncludedAsAsset" type="xbrli:durationItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_AmortizedTermOfDeferredExpensesIncludedAsAsset" substitutionGroup="xbrli:item" />
  <element name="ManagementFeeReducedOnProDataBasis" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_ManagementFeeReducedOnProDataBasis" substitutionGroup="xbrli:item" />
  <element name="EffectiveIncomeTaxRateReconciliationAdditionalBranch" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_EffectiveIncomeTaxRateReconciliationAdditionalBranch" substitutionGroup="xbrli:item" />
  <element name="PercentageOnBranchProfitTax" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PercentageOnBranchProfitTax" substitutionGroup="xbrli:item" />
  <element name="PercentageOfWithholdingTax" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PercentageOfWithholdingTax" substitutionGroup="xbrli:item" />
  <element name="PercentageOfInterestInTheAggregator" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_PercentageOfInterestInTheAggregator" substitutionGroup="xbrli:item" />
  <element name="PercentageOfHoldingInvestmentOfTheAggregator" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PercentageOfHoldingInvestmentOfTheAggregator" substitutionGroup="xbrli:item" />
  <element name="PercentageOfListingInvestmentOfTheAggregator" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PercentageOfListingInvestmentOfTheAggregator" substitutionGroup="xbrli:item" />
  <element name="CashHeldAtBankMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_CashHeldAtBankMember" substitutionGroup="xbrli:item" />
  <element name="DebtInvestmentsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_DebtInvestmentsMember" substitutionGroup="xbrli:item" />
  <element name="PrivateDebtInvestmentsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_PrivateDebtInvestmentsMember" substitutionGroup="xbrli:item" />
  <element name="LiquidDebtInvestmentsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_LiquidDebtInvestmentsMember" substitutionGroup="xbrli:item" />
  <element name="EquityInvestmentsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_EquityInvestmentsMember" substitutionGroup="xbrli:item" />
  <element name="ImpactOnValuationOfInputMeasureAxis" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ImpactOnValuationOfInputMeasureAxis" substitutionGroup="xbrldt:dimensionItem" />
  <element name="ImpactOnValuationOfInputMeasureDomain" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ImpactOnValuationOfInputMeasureDomain" substitutionGroup="xbrli:item" />
  <element name="LowerImpactMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_LowerImpactMember" substitutionGroup="xbrli:item" />
  <element name="HigherImpactMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_HigherImpactMember" substitutionGroup="xbrli:item" />
  <element name="MeasurementInputWACCMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_MeasurementInputWACCMember" substitutionGroup="xbrli:item" />
  <element name="MeasurementInputExitMultipleMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_MeasurementInputExitMultipleMember" substitutionGroup="xbrli:item" />
  <element name="ValuationTechniqueTransactionalValueMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ValuationTechniqueTransactionalValueMember" substitutionGroup="xbrli:item" />
  <element name="ValuationTechniqueThirdPartyPricingMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ValuationTechniqueThirdPartyPricingMember" substitutionGroup="xbrli:item" />
  <element name="ValuationTechniquesRecentRoundOfFinancingMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ValuationTechniquesRecentRoundOfFinancingMember" substitutionGroup="xbrli:item" />
  <element name="InvestmentCompanyInvestmentOwnedValuationTechniques" type="xbrli:stringItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentCompanyInvestmentOwnedValuationTechniques" substitutionGroup="xbrli:item" />
  <element name="InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" type="xbrli:stringItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" substitutionGroup="xbrli:item" />
  <element name="AffiliatedInvesteeMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_AffiliatedInvesteeMember" substitutionGroup="xbrli:item" />
  <element name="EquityTypeInvestmentsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_EquityTypeInvestmentsMember" substitutionGroup="xbrli:item" />
  <element name="DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTable" substitutionGroup="xbrldt:hypercubeItem" />
  <element name="OtherInvestmentsInAffiliatedInvesteeFundsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_OtherInvestmentsInAffiliatedInvesteeFundsMember" substitutionGroup="xbrli:item" />
  <element name="OtherEquityInvestmentMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_OtherEquityInvestmentMember" substitutionGroup="xbrli:item" />
  <element name="DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentLineItems" substitutionGroup="xbrli:item" />
  <element name="NetAssetValueInvestmentInAffiliatesAtFairValue" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_NetAssetValueInvestmentInAffiliatesAtFairValue" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="InvestmentInAffiliatesUnfundedCommitments" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_InvestmentInAffiliatesUnfundedCommitments" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="IndividualEquityMethodInvestmentsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_IndividualEquityMethodInvestmentsMember" substitutionGroup="xbrli:item" />
  <element name="AgreementAxis" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_AgreementAxis" substitutionGroup="xbrldt:dimensionItem" />
  <element name="AgreementDomain" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_AgreementDomain" substitutionGroup="xbrli:item" />
  <element name="LineOfCreditAgreementMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_LineOfCreditAgreementMember" substitutionGroup="xbrli:item" />
  <element name="AggregatorCreditAgreementMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_AggregatorCreditAgreementMember" substitutionGroup="xbrli:item" />
  <element name="BonavistaCreditFacilityMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_BonavistaCreditFacilityMember" substitutionGroup="xbrli:item" />
  <element name="BxpeUsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_BxpeUsMember" substitutionGroup="xbrli:item" />
  <element name="DerivativeTypeAxis" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_DerivativeTypeAxis" substitutionGroup="xbrldt:dimensionItem" />
  <element name="DerivativeTypeDomain" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_DerivativeTypeDomain" substitutionGroup="xbrli:item" />
  <element name="DerivativeRealizedGainMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_DerivativeRealizedGainMember" substitutionGroup="xbrli:item" />
  <element name="DerivativeUnrealizedGainLossMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_DerivativeUnrealizedGainLossMember" substitutionGroup="xbrli:item" />
  <element name="SharesIssuedNotDisclosed" type="xbrli:booleanItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_SharesIssuedNotDisclosed" substitutionGroup="xbrli:item" />
  <element name="PercentageOfEarlyDeductionUnitsRepurchased" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_PercentageOfEarlyDeductionUnitsRepurchased" substitutionGroup="xbrli:item" />
  <element name="PercentageOfRedemptionOfUnitsOutstanding" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_PercentageOfRedemptionOfUnitsOutstanding" substitutionGroup="xbrli:item" />
  <element name="FeederMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_FeederMember" substitutionGroup="xbrli:item" />
  <element name="ShareRedeemedAxis" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ShareRedeemedAxis" substitutionGroup="xbrldt:dimensionItem" />
  <element name="ShareRedeemedDomain" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ShareRedeemedDomain" substitutionGroup="xbrli:item" />
  <element name="RedeemedAgreementMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_RedeemedAgreementMember" substitutionGroup="xbrli:item" />
  <element name="NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="EffectiveIncomeTaxRateReconciliationPassThroughIncomeNotSubjectToTax" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_EffectiveIncomeTaxRateReconciliationPassThroughIncomeNotSubjectToTax" substitutionGroup="xbrli:item" />
  <element name="EffectiveIncomeTaxRateReconciliationBranchProfitTax" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_EffectiveIncomeTaxRateReconciliationBranchProfitTax" substitutionGroup="xbrli:item" />
  <element name="DeferredTaxAssetsOutsideBasisDifferenceInUnderlyingPartnership" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_DeferredTaxAssetsOutsideBasisDifferenceInUnderlyingPartnership" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="DeferredTaxLiabilitiesOutsideBasisDifferenceInUnderlyingPartnership" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_DeferredTaxLiabilitiesOutsideBasisDifferenceInUnderlyingPartnership" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="ProvisionForIncomeTaxes" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_ProvisionForIncomeTaxes" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="DealerManagerMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_DealerManagerMember" substitutionGroup="xbrli:item" />
  <element name="DealerManagerAgreementMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_DealerManagerAgreementMember" substitutionGroup="xbrli:item" />
  <element name="PercentageOfPerformanceParticipationAllocation" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PercentageOfPerformanceParticipationAllocation" substitutionGroup="xbrli:item" />
  <element name="PercentageOfAnnualHurdleAmount" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PercentageOfAnnualHurdleAmount" substitutionGroup="xbrli:item" />
  <element name="PercentageOfAnnualRateOnMonthlyServicingFee" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PercentageOfAnnualRateOnMonthlyServicingFee" substitutionGroup="xbrli:item" />
  <element name="PercentageOfManagementFeeOfEntityNetAssetValue" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_PercentageOfManagementFeeOfEntityNetAssetValue" substitutionGroup="xbrli:item" />
  <element name="AdministrationFeePayableRate" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_AdministrationFeePayableRate" substitutionGroup="xbrli:item" />
  <element name="PerformanceParticipationAllocation" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PerformanceParticipationAllocation" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="GrossManagementFee" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_GrossManagementFee" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="AdministrationFeePayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_AdministrationFeePayable" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="AccruedAdministrationFees" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_AccruedAdministrationFees" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="InvestmentsInAffliatedInvesteeFunds" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_InvestmentsInAffliatedInvesteeFunds" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="AccruedWaivedExpenses" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_AccruedWaivedExpenses" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" substitutionGroup="xbrli:item" />
  <element name="AggregateInvestmentPurchasePrice" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_AggregateInvestmentPurchasePrice" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="InvestmentCompanySellPrice" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentCompanySellPrice" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="AggregatorTransactionalNAV" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_AggregatorTransactionalNAV" substitutionGroup="xbrli:item" />
  <element name="CapitalCommitments" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_CapitalCommitments" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="CashProceedsFromRelatedParty" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_CashProceedsFromRelatedParty" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="AccruedPerformanceParticipationAllocation" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_AccruedPerformanceParticipationAllocation" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="ExchangeOfClassEquity" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_ExchangeOfClassEquity" substitutionGroup="xbrli:item" />
  <element name="AmountOfReceiveOfAccruedPerformanceParticipationAllocation" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_AmountOfReceiveOfAccruedPerformanceParticipationAllocation" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="ContributedOfEquityOfIntermediate" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_ContributedOfEquityOfIntermediate" substitutionGroup="xbrli:item" />
  <element name="PaymentsForPurchaseOfEquity" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_PaymentsForPurchaseOfEquity" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="InvestmentsInDebtAndOtherSecurities" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentsInDebtAndOtherSecurities" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="ClassSMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ClassSMember" substitutionGroup="xbrli:item" />
  <element name="ClassDMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ClassDMember" substitutionGroup="xbrli:item" />
  <element name="ClassIMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ClassIMember" substitutionGroup="xbrli:item" />
  <element name="DeferredExpenseAmortizationPeriod" type="xbrli:durationItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_DeferredExpenseAmortizationPeriod" substitutionGroup="xbrli:item" />
  <element name="UnfundedInvestmentCommitments" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_UnfundedInvestmentCommitments" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="ConditionalInvestmentCommitments" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_ConditionalInvestmentCommitments" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="OtherUnfundedCommitments" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxpe_OtherUnfundedCommitments" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="InvestmentManagerMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentManagerMember" substitutionGroup="xbrli:item" />
  <element name="OfferingExpensesMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_OfferingExpensesMember" substitutionGroup="xbrli:item" />
  <element name="OrganizationalExpensesMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_OrganizationalExpensesMember" substitutionGroup="xbrli:item" />
  <element name="InvestmentCompanyServicingFeesPerShare" type="dtr-types:perShareItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentCompanyServicingFeesPerShare" substitutionGroup="xbrli:item" />
  <element name="NetIncreaseInNetAssetsResultingFromInvestmentOperationsPerShare" type="dtr-types:perShareItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_NetIncreaseInNetAssetsResultingFromInvestmentOperationsPerShare" substitutionGroup="xbrli:item" />
  <element name="InvestmentCompanyExpenseRatio" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxpe_InvestmentCompanyExpenseRatio" substitutionGroup="xbrli:item" />
  <element name="ClassAMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ClassAMember" substitutionGroup="xbrli:item" />
  <element name="ClassNMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_ClassNMember" substitutionGroup="xbrli:item" />
  <element name="AgreementNameAxis" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_AgreementNameAxis" substitutionGroup="xbrldt:dimensionItem" />
  <element name="AgreementNameDomain" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_AgreementNameDomain" substitutionGroup="xbrli:item" />
  <element name="InsiderTradingArrangementsAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_InsiderTradingArrangementsAbstract" substitutionGroup="xbrli:item" />
  <element name="InsiderTradingPoliciesAndProceduresAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxpe_InsiderTradingPoliciesAndProceduresAbstract" substitutionGroup="xbrli:item" />
</schema>
