<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.26.1</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>137</ContextCount>
  <ElementCount>294</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>true</FootnotesReported>
  <SegmentCount>58</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>7</UnitCount>
  <MyReports>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>0000001 - Document - Cover</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/Cover</Role>
      <ShortName>Cover</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>9952151 - Statement - CONSOLIDATED BALANCE SHEETS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/CONSOLIDATEDBALANCESHEETS</Role>
      <ShortName>CONSOLIDATED BALANCE SHEETS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>9952152 - Statement - CONSOLIDATED BALANCE SHEETS (Parentheticals)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/CONSOLIDATEDBALANCESHEETSParentheticals</Role>
      <ShortName>CONSOLIDATED BALANCE SHEETS (Parentheticals)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>9952153 - Statement - CONSOLIDATED STATEMENTS OF OPERATIONS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/CONSOLIDATEDSTATEMENTSOFOPERATIONS</Role>
      <ShortName>CONSOLIDATED STATEMENTS OF OPERATIONS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>9952154 - Statement - CONSOLIDATED STATEMENTS OF OPERATIONS (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/CONSOLIDATEDSTATEMENTSOFOPERATIONSParenthetical</Role>
      <ShortName>CONSOLIDATED STATEMENTS OF OPERATIONS (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>9952155 - Statement - CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDER???S EQUITY (DEFICIT)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/CONSOLIDATEDSTATEMENTSOFCHANGESINSHAREHOLDERSEQUITYDEFICIT</Role>
      <ShortName>CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDER???S EQUITY (DEFICIT)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>9952156 - Statement - CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDER???S EQUITY (DEFICIT) (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/CONSOLIDATEDSTATEMENTSOFCHANGESINSHAREHOLDERSEQUITYDEFICITParenthetical</Role>
      <ShortName>CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDER???S EQUITY (DEFICIT) (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>9952157 - Statement - CONSOLIDATED STATEMENTS OF CASH FLOWS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/CONSOLIDATEDSTATEMENTSOFCASHFLOWS</Role>
      <ShortName>CONSOLIDATED STATEMENTS OF CASH FLOWS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9.htm</HtmlFileName>
      <LongName>9952158 - Disclosure - Description of Organization and Business Operations</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/DescriptionofOrganizationandBusinessOperations</Role>
      <ShortName>Description of Organization and Business Operations</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>9</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R10.htm</HtmlFileName>
      <LongName>9952159 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/SummaryofSignificantAccountingPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>10</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R11.htm</HtmlFileName>
      <LongName>9952160 - Disclosure - Initial Public Offering</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/InitialPublicOffering</Role>
      <ShortName>Initial Public Offering</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>11</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R12.htm</HtmlFileName>
      <LongName>9952161 - Disclosure - Private Placement</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/PrivatePlacement</Role>
      <ShortName>Private Placement</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>12</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R13.htm</HtmlFileName>
      <LongName>9952162 - Disclosure - Related Party Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/RelatedPartyTransactions</Role>
      <ShortName>Related Party Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>13</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R14.htm</HtmlFileName>
      <LongName>9952163 - Disclosure - Commitments and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/CommitmentsandContingencies</Role>
      <ShortName>Commitments and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>14</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R15.htm</HtmlFileName>
      <LongName>9952164 - Disclosure - Shareholders??? Deficit</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/ShareholdersDeficit</Role>
      <ShortName>Shareholders??? Deficit</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>15</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R16.htm</HtmlFileName>
      <LongName>9952165 - Disclosure - Fair Value Measurement</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/FairValueMeasurement</Role>
      <ShortName>Fair Value Measurement</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>16</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R17.htm</HtmlFileName>
      <LongName>9952166 - Disclosure - Segment Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/SegmentInformation</Role>
      <ShortName>Segment Information</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>17</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R18.htm</HtmlFileName>
      <LongName>9952167 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/SubsequentEvents</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>18</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R19.htm</HtmlFileName>
      <LongName>99554.3 - Disclosure - S-K 1603, SPAC Sponsor; Conflicts of Interest</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1603</Role>
      <ShortName>S-K 1603, SPAC Sponsor; Conflicts of Interest</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>19</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R20.htm</HtmlFileName>
      <LongName>99554.3.1 - Disclosure - S-K 1603(a) SPAC Sponsor</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1603a</Role>
      <ShortName>S-K 1603(a) SPAC Sponsor</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>20</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R21.htm</HtmlFileName>
      <LongName>99554.3.1.7.1 - Disclosure - S-K 1603(a)(7) Sponsor Controlling Persons</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1603a71</Role>
      <ShortName>S-K 1603(a)(7) Sponsor Controlling Persons</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>21</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R22.htm</HtmlFileName>
      <LongName>99554.3.1.7.2 - Disclosure - S-K 1603(a)(7) Direct and Indirect Material Interest Holders</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1603a72</Role>
      <ShortName>S-K 1603(a)(7) Direct and Indirect Material Interest Holders</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>22</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R23.htm</HtmlFileName>
      <LongName>99554.3.1.9 - Disclosure - S-K 1603(a)(9) Restrictions on Selling Securities</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1603a9</Role>
      <ShortName>S-K 1603(a)(9) Restrictions on Selling Securities</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>23</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R24.htm</HtmlFileName>
      <LongName>99554.3.2 - Disclosure - S-K 1603(b) Conflicts of Interest</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1603b</Role>
      <ShortName>S-K 1603(b) Conflicts of Interest</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>24</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R25.htm</HtmlFileName>
      <LongName>99554.4 - Disclosure - S-K 1604, De-SPAC Transaction</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1604</Role>
      <ShortName>S-K 1604, De-SPAC Transaction</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>25</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R26.htm</HtmlFileName>
      <LongName>99554.4.1.3 - Disclosure - S-K 1604(a)(3) De-SPAC Forepart, Compensation</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1604a3</Role>
      <ShortName>S-K 1604(a)(3) De-SPAC Forepart, Compensation</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>26</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R27.htm</HtmlFileName>
      <LongName>99554.4.2.4 - Disclosure - S-K 1604(b)(4) De-SPAC Prospectus Summary, Compensation</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1604b4</Role>
      <ShortName>S-K 1604(b)(4) De-SPAC Prospectus Summary, Compensation</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>27</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R28.htm</HtmlFileName>
      <LongName>99554.4.2.5 - Disclosure - 1604(b)(5) De-SPAC, Material Financing Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1604b5</Role>
      <ShortName>1604(b)(5) De-SPAC, Material Financing Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>28</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R29.htm</HtmlFileName>
      <LongName>99554.4.3 - Disclosure - S-K 1604(c) De-SPAC Dilution</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1604c</Role>
      <ShortName>S-K 1604(c) De-SPAC Dilution</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>29</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R30.htm</HtmlFileName>
      <LongName>99554.5 - Disclosure - S-K 1605, De-SPAC Background and Terms</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1605</Role>
      <ShortName>S-K 1605, De-SPAC Background and Terms</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>30</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R31.htm</HtmlFileName>
      <LongName>99554.5.3 - Disclosure - 1605(c) De-SPAC and Related Financing Transactions, Effects</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1605c</Role>
      <ShortName>1605(c) De-SPAC and Related Financing Transactions, Effects</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>31</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R32.htm</HtmlFileName>
      <LongName>99554.6 - Disclosure - S-K 1606, De-SPAC Board Determination</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1606</Role>
      <ShortName>S-K 1606, De-SPAC Board Determination</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>32</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R33.htm</HtmlFileName>
      <LongName>99554.7 - Disclosure - S-K 1607, De-SPAC Reports, Opinions, Appraisals, Negotiations</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1607</Role>
      <ShortName>S-K 1607, De-SPAC Reports, Opinions, Appraisals, Negotiations</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>33</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R34.htm</HtmlFileName>
      <LongName>99554.7.1 - Disclosure - 1607(b, c) Reports, Opinions, Appraisals, and Negotiations</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1607bc</Role>
      <ShortName>1607(b, c) Reports, Opinions, Appraisals, and Negotiations</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>34</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R35.htm</HtmlFileName>
      <LongName>99554.9.1 - Disclosure - S-K 1609(a), De-SPAC Projection Preparers</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1609</Role>
      <ShortName>S-K 1609(a), De-SPAC Projection Preparers</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>35</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R36.htm</HtmlFileName>
      <LongName>99554.9.2 - Disclosure - S-K 1609(b), De-SPAC Projections, Assumptions and Material Factors</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1609b</Role>
      <ShortName>S-K 1609(b), De-SPAC Projections, Assumptions and Material Factors</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>36</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R37.htm</HtmlFileName>
      <LongName>99554.9.3 - Disclosure - 1609(c) De-SPAC Projections, Future Performance</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/spac/role/sk1609c</Role>
      <ShortName>1609(c) De-SPAC Projections, Future Performance</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>37</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R38.htm</HtmlFileName>
      <LongName>9955511 - Disclosure - Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/SignificantAccountingPoliciesPolicies</Role>
      <ShortName>Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://aparadiseacquisitioncorp.com/role/SummaryofSignificantAccountingPolicies</ParentRole>
      <Position>38</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R39.htm</HtmlFileName>
      <LongName>9955512 - Disclosure - Basis of Presentation and Summary of Significant Accounting Policies (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/BasisofPresentationandSummaryofSignificantAccountingPoliciesTables</Role>
      <ShortName>Basis of Presentation and Summary of Significant Accounting Policies (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <Position>39</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R40.htm</HtmlFileName>
      <LongName>9955513 - Disclosure - Fair Value Measurement (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/FairValueMeasurementTables</Role>
      <ShortName>Fair Value Measurement (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://aparadiseacquisitioncorp.com/role/FairValueMeasurement</ParentRole>
      <Position>40</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R41.htm</HtmlFileName>
      <LongName>9955514 - Disclosure - Segment Information (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/SegmentInformationTables</Role>
      <ShortName>Segment Information (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://aparadiseacquisitioncorp.com/role/SegmentInformation</ParentRole>
      <Position>41</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R42.htm</HtmlFileName>
      <LongName>9955515 - Disclosure - Description of Organization and Business Operations (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/DescriptionofOrganizationandBusinessOperationsDetails</Role>
      <ShortName>Description of Organization and Business Operations (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://aparadiseacquisitioncorp.com/role/DescriptionofOrganizationandBusinessOperations</ParentRole>
      <Position>42</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R43.htm</HtmlFileName>
      <LongName>9955516 - Disclosure - Summary of Significant Accounting Policies - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/SummaryofSignificantAccountingPoliciesNarrativeDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>43</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R44.htm</HtmlFileName>
      <LongName>9955517 - Disclosure - Summary of Significant Accounting Policies - Schedule of Class A Ordinary Shares Subject to Possible Redemption (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/SummaryofSignificantAccountingPoliciesScheduleofClassAOrdinarySharesSubjecttoPossibleRedemptionDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Schedule of Class A Ordinary Shares Subject to Possible Redemption (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>44</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R45.htm</HtmlFileName>
      <LongName>9955518 - Disclosure - Summary of Significant Accounting Policies - Schedule of Net Income (Loss) per Share Presented In The Statement Of Operations (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/SummaryofSignificantAccountingPoliciesScheduleofNetIncomeLossperSharePresentedInTheStatementOfOperationsDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Schedule of Net Income (Loss) per Share Presented In The Statement Of Operations (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>45</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R46.htm</HtmlFileName>
      <LongName>9955519 - Disclosure - Summary of Significant Accounting Policies - Schedule of Basic and Diluted Net Loss Per Ordinary Share (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/SummaryofSignificantAccountingPoliciesScheduleofBasicandDilutedNetLossPerOrdinaryShareDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Schedule of Basic and Diluted Net Loss Per Ordinary Share (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>46</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R47.htm</HtmlFileName>
      <LongName>9955520 - Disclosure - Initial Public Offering (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/InitialPublicOfferingDetails</Role>
      <ShortName>Initial Public Offering (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://aparadiseacquisitioncorp.com/role/InitialPublicOffering</ParentRole>
      <Position>47</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R48.htm</HtmlFileName>
      <LongName>9955521 - Disclosure - Private Placement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/PrivatePlacementDetails</Role>
      <ShortName>Private Placement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://aparadiseacquisitioncorp.com/role/PrivatePlacement</ParentRole>
      <Position>48</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R49.htm</HtmlFileName>
      <LongName>9955522 - Disclosure - Related Party Transactions (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/RelatedPartyTransactionsDetails</Role>
      <ShortName>Related Party Transactions (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://aparadiseacquisitioncorp.com/role/RelatedPartyTransactions</ParentRole>
      <Position>49</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R50.htm</HtmlFileName>
      <LongName>9955523 - Disclosure - Commitments and Contingencies (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/CommitmentsandContingenciesDetails</Role>
      <ShortName>Commitments and Contingencies (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://aparadiseacquisitioncorp.com/role/CommitmentsandContingencies</ParentRole>
      <Position>50</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R51.htm</HtmlFileName>
      <LongName>9955524 - Disclosure - Shareholders??? Deficit (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/ShareholdersDeficitDetails</Role>
      <ShortName>Shareholders??? Deficit (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://aparadiseacquisitioncorp.com/role/ShareholdersDeficit</ParentRole>
      <Position>51</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R52.htm</HtmlFileName>
      <LongName>9955525 - Disclosure - Fair Value Measurement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/FairValueMeasurementDetails</Role>
      <ShortName>Fair Value Measurement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://aparadiseacquisitioncorp.com/role/FairValueMeasurementTables</ParentRole>
      <Position>52</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R53.htm</HtmlFileName>
      <LongName>9955526 - Disclosure - Segment Information - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/SegmentInformationNarrativeDetails</Role>
      <ShortName>Segment Information - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>53</Position>
    </Report>
    <Report instance="apadu-20260319.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R54.htm</HtmlFileName>
      <LongName>9955527 - Disclosure - Segment Information - Schedule of Segment Information Related To CODM (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://aparadiseacquisitioncorp.com/role/SegmentInformationScheduleofSegmentInformationRelatedToCODMDetails</Role>
      <ShortName>Segment Information - Schedule of Segment Information Related To CODM (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>54</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File doctype="S-4/A" isDefinitelyFs="true" isUsgaap="true" original="apadu-20260319.htm">apadu-20260319.htm</File>
    <File>apadu-20260319.xsd</File>
    <File>apadu-20260319_cal.xml</File>
    <File>apadu-20260319_def.xml</File>
    <File>apadu-20260319_lab.xml</File>
    <File>apadu-20260319_pre.xml</File>
  </InputFiles>
  <SupplementalFiles>
    <File>apadu-20260319_g1.jpg</File>
    <File>apadu-20260319_g10.jpg</File>
    <File>apadu-20260319_g11.jpg</File>
    <File>apadu-20260319_g2.jpg</File>
    <File>apadu-20260319_g3.jpg</File>
    <File>apadu-20260319_g4.jpg</File>
    <File>apadu-20260319_g5.jpg</File>
    <File>apadu-20260319_g6.jpg</File>
    <File>apadu-20260319_g7.jpg</File>
    <File>apadu-20260319_g8.jpg</File>
    <File>apadu-20260319_g9.jpg</File>
  </SupplementalFiles>
  <BaseTaxonomies>
    <BaseTaxonomy items="394">http://fasb.org/us-gaap/2025</BaseTaxonomy>
    <BaseTaxonomy items="10">http://xbrl.sec.gov/dei/2025</BaseTaxonomy>
    <BaseTaxonomy items="152">http://xbrl.sec.gov/spac/2025q3</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>true</HasPresentationLinkbase>
  <HasCalculationLinkbase>true</HasCalculationLinkbase>
</FilingSummary>
