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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_JointDevelopmentExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Joint Development Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_JointDevelopmentExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Joint development expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statutory federal income tax rate of 21 percent applied to loss before income taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCompensationArrangementWithIndividualAllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share based compensation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCompensationArrangementWithIndividualAllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Compensation Arrangement with Individual, Allocated Share-Based Compensation Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Increase (Decrease) in Other Operating Assets and Liabilities, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Other Operating Assets and Liabilities, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ChangesInFairValueOfContingentConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in fair value of contingent consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ChangesInFairValueOfContingentConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Changes In Fair Value Of Contingent Consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ChangesInFairValueOfContingentConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Changes in fair value of contingent consideration.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockholdersEquityNoteWarrantsOrRightsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Stockholders' Equity Note, Warrants or Rights [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockholdersEquityNoteWarrantsOrRightsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Stockholders' Equity Note, Warrants or Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressPostalZipCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Postal Zip Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Board Committee or Subcommittee Responsible for Oversight [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Incorporation, State or Country Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClosingPeriodOfMergerAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Closing period of merger agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClosingPeriodOfMergerAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Closing period of merger agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClosingPeriodOfMergerAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Closing Period of Merger Agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncrementalFairValueOfModifiedOrExchangedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Incremental fair value of modified warrants (Note 5)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncrementalFairValueOfModifiedOrExchangedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Incremental Fair Value of Modified or Exchanged Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncrementalFairValueOfModifiedOrExchangedWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Incremental fair value of modified or exchanged warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Paid, Excluding Capitalized Interest, Operating Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Paid, Excluding Capitalized Interest, Operating Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_RepricedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repriced Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_RepricedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repriced warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized compensation cost related to outstanding RSUs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of operating segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Operating Segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Tranche One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tranche One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_StockIssuedDuringPeriodValueOfCommonStockUponWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">It represents the amount of stock issued during period value of common stock upon warrant exercises.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_StockIssuedDuringPeriodValueOfCommonStockUponWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Of Common Stock Upon Warrant Exercises</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_StockIssuedDuringPeriodValueOfCommonStockUponWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock upon warrant exercises</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options Exercisable, Weighted Average Exercise Price (in dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityReverseStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity, Reverse Stock Split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityReverseStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reverse stock split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ProgramExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Program Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ProgramExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Program expenses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ProgramExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Program expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_RecurringFairValueMeasurementsOfLiabilities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Recurring fair value measurements of liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_RecurringFairValueMeasurementsOfLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recurring fair value measurements of liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_RecurringFairValueMeasurementsOfLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Recurring fair value measurements of liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeriesAConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding Series A convertible preferred stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeriesAConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeriesAConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_RetainedEarningsAccumulatedIncomeDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Retained earnings accumulated income.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_RetainedEarningsAccumulatedIncomeDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings Accumulated Income (Deficit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_RetainedEarningsAccumulatedIncomeDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Accumulated deficit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxAssetsAccruedExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred tax assets accrued expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxAssetsAccruedExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets Accrued Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxAssetsAccruedExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and Contingencies</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_UnregisteredSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unregistered Shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_UnregisteredSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unregistered Shares [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_UnregisteredSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unregistered Shares [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Fair Value of Options Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ProductOrServiceAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Product and Service [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative Financial Instruments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivatives, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CvrAgreementDistributionMinimumAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CVR Agreement, distribution minimum amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CvrAgreementDistributionMinimumAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">CVR agreement, distribution minimum amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CvrAgreementDistributionMinimumAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">CVR Agreement, Distribution Minimum Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AdjustmentsToAdditionalPaidInCapitalWarrantIssuedShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments To Additional Paid In Capital Warrant Issued Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AdjustmentsToAdditionalPaidInCapitalWarrantIssuedShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Adjustments to additional paid in capital warrant issued, shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AdjustmentsToAdditionalPaidInCapitalWarrantIssuedShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock warrants related to promissory note (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Rights, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Award Vesting Rights Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ArrangementsAndNonarrangementTransactionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoncashInvestingAndFinancingItemsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental disclosures of non-cash investing and financing activities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoncashInvestingAndFinancingItemsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noncash Investing and Financing Items [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Processes Integrated [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stockholders' Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNameOfTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining balance under insurance financing arrangements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Remaining Borrowing Capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Central Index Key</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CIK</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants for common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Warrant [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_May2024PlacementAgentWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">May 2024 Placement Agent Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_May2024PlacementAgentWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">May 2024 Placement Agent Warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringReserveRollForward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Reserve [Roll Forward]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Options, Forfeited, expired or cancelled (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Forfeitures in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Number of Options, Forfeited, expired or cancelled (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorOpinionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Auditor Opinion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorOpinionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Opinion [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in operating assets and liabilities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Operating Capital [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FairValueOfWarrantsIssuedToRepresentativesOfUnderwriter_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of warrants issued to representatives of underwriter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FairValueOfWarrantsIssuedToRepresentativesOfUnderwriter_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value of Warrants Issued to Representatives of Underwriter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FairValueOfWarrantsIssuedToRepresentativesOfUnderwriter_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value of warrants issued to representatives of underwriter.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Common Stock, Shares, Issued, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, shares issued (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Increase (Decrease) in Prepaid Expense and Other Assets, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Prepaid Expense and Other Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Prepaid and other current assets and other noncurrent assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_The2021EsppMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The 2021 ESPP member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_The2021EsppMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">The 2021 ESPP [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseRemainingLeaseTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining lease term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseRemainingLeaseTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Remaining Lease Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AprilTwoThousandTwentyThreeWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">April 2023 Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AprilTwoThousandTwentyThreeWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">April two thousand twenty three warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AprilTwoThousandTwentyThreeWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">April Two Thousand Twenty Three Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, State or Province</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueEmployeeStockPurchasePlan_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for employee stock purchase plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueEmployeeStockPurchasePlan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Employee Stock Purchase Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueEmployeeStockPurchasePlan_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Maximum shares issued under ESPP</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedClinicalTrialCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued clinical trial costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedClinicalTrialCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the amount of accrued clinical trial costs as of the balance sheet date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedClinicalTrialCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued clinical trial expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxAssetsDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred tax assets depreciation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxAssetsDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxAssetsDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options Exercisable, Aggregate Intrinsic Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Intrinsic Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CoverAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cover [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CoverAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cover</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Share-Based Payment Arrangement, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsUnrestrictedCashAndCashEquivalentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and Cash Equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsUnrestrictedCashAndCashEquivalentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents, Unrestricted Cash and Cash Equivalents, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomePolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomePolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Comprehensive Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Earnings Per Share, Basic, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basic net loss per common share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increase of valuation allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_UncertainIncomeTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">uncertain income tax positions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_UncertainIncomeTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Uncertain Income Tax Positions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_UncertainIncomeTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Uncertain income tax positions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeniorSecuredPromissoryNoteWarrantsFirstClosingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Secured Promissory Note Warrants, First Closing [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeniorSecuredPromissoryNoteWarrantsFirstClosingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding warrants associated with the first closing of the Senior Secured Promissory Notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating expenses:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Expenses [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentAnnualReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Annual Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ConsolidationItemsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consolidation Items [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_InsuranceFinancingArrangementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Insurance Financing Arrangement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_InsuranceFinancingArrangementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Insurance Financing Arrangement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_InsuranceFinancingArrangementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Insurance Financing Arrangement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ContingentValueRightProRataNetProceedsFromSaleOrLicensing_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contingent value right, pro rata, net proceeds from sale or licensing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ContingentValueRightProRataNetProceedsFromSaleOrLicensing_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingent Value Right, Pro Rata, Net Proceeds from Sale or Licensing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ContingentValueRightProRataNetProceedsFromSaleOrLicensing_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent value right, pro rata, net proceeds from sale or licensing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based compensation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OutOfPocketExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Out-of-pocket expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OutOfPocketExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Out-of-pocket expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OutOfPocketExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Out-of-Pocket Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Retained Earnings (Accumulated Deficit), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Retained Earnings (Accumulated Deficit), Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Retained Earnings (Accumulated Deficit), Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings (Accumulated Deficit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Retained earnings (Accumulated deficit), ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_LicenseAgreementsWithTheRegentsOfTheUniversityOfCaliforniaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">License Agreements with the Regents of the University of California [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_LicenseAgreementsWithTheRegentsOfTheUniversityOfCaliforniaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding license agreements with the Regents of the University of California for exclusive commercial rights to certain patents, technology and know-how.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_LicenseAgreementsWithTheRegentsOfTheUniversityOfCaliforniaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">License Agreements with the Regents of the University of California [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Number of Options, Outstanding (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Number of Options, Outstanding (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Current [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current assets:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock capital shares reserved for future issuance (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Capital Shares Reserved for Future Issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AdditionalFinancingAgreementsTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Financing Agreements Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AdditionalFinancingAgreementsTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding the second additional financing agreement or second set of financing agreements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financing arrangement expiration period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Expiration Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net deferred taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net deferred taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCostsCapitalizedPrepaidAndOtherAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Costs, Capitalized, Prepaid, and Other Assets Disclosure [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCostsCapitalizedPrepaidAndOtherAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Prepaid Expenses and Other Current Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in operating activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Operating Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Forfeitures, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Forfeited, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RoyaltyExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Royalty Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RoyaltyExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Royalty expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ProductsAndServicesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Product and Service [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Term of Contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lessee, operating lease, term of contract (Year)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsOutstandingWeightedAverageRemainingContractualTerms_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Outstanding, Weighted Average Remaining Contractual Terms</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsOutstandingWeightedAverageRemainingContractualTerms_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-vested, Weighted Average Contractual Life (Years)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsOutstandingWeightedAverageRemainingContractualTerms_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted Average Remaining Contractual Life (Years)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Operating Loss Carryforwards, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Loss Carryforwards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating loss carry forwards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deposit Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deposit Assets, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Property, Plant and Equipment, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Property, Plant and Equipment, Net, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Property, Plant and Equipment, Net, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and equipment, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfNetRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of net revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfNetRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of net revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfNetRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of net revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfRestructuringDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Type of Restructuring [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VestingAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vesting [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common stock, par or stated value per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Par or Stated Value Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock, Par or Stated Value Per Share (in dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedRoyaltiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Royalties, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedRoyaltiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued royalties, current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeStockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock options [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Positions or Committees Responsible [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_WarrantInducementAndEquityIssuanceCostsIncludedInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Inducement and Equity Issuance Costs Included in Accounts Payable and Accrued Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_WarrantInducementAndEquityIssuanceCostsIncludedInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant inducement and equity issuance costs included in accounts payable and accrued liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_WarrantInducementAndEquityIssuanceCostsIncludedInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Warrant inducement and equity issuance costs included in accounts payable and accrued liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_WarrantInducementAndEquityIssuanceCostsIncludedInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant inducement and equity issuance costs included in accounts payable and accrued liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfCashFlowsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Cash Flows [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CounterpartyNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Counterparty Name [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeriesA4Point5PercentConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A 4.5% Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeriesA4Point5PercentConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information pertaining to Series A 4.5% convertible preferred stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfOtherAssetsNoncurrentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Other Noncurrent Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfOtherAssetsNoncurrentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Other Assets, Noncurrent [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalUnemploymentBenefitsSeveranceBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued severance and benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalUnemploymentBenefitsSeveranceBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Unemployment Benefits, Severance Benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Number of Securities Called by Warrants or Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Warrants to purchase shares of Company's common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants to purchase shares of common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AprilTwoThousandAndTwentyThreeOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">April 2023 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AprilTwoThousandAndTwentyThreeOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">April Two Thousand And Twenty Three Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AprilTwoThousandAndTwentyThreeOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">April two thousand And twenty three offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restructuring costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Restructuring Costs, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Restructuring costs (Note 8)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Components [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeRelatedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Employee-related Liabilities, Current, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeRelatedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee-related Liabilities, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeRelatedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued compensation and benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Restricted Stock Units, Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Process for Informing Board Committee or Subcommittee Responsible for Oversight [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FinancingAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FinancingAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regard agreements to finance certain insurance policies.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AdditionalFinancingAgreementsOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Financing Agreements One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AdditionalFinancingAgreementsOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information pertaining to the first additional financing agreement or first set of financing agreements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationChangeInEnactedTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationChangeInEnactedTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in tax rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiabilityMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent consideration, measurement input</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiabilityMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Contingent Consideration, Liability, Measurement Input</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total other income, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonoperating Income (Expense)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Risk Free Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk free interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NonCashImpactOfExercisePriceResetOnOutstandingWarrantsRelatedToDownRoundProvisions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non cash impact of exercise price reset on outstanding warrants related to down round provisions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NonCashImpactOfExercisePriceResetOnOutstandingWarrantsRelatedToDownRoundProvisions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Cash Impact of Exercise Price Reset on Outstanding Warrants Related to Down Round Provisions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NonCashImpactOfExercisePriceResetOnOutstandingWarrantsRelatedToDownRoundProvisions_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non cash impact of exercise price reset on outstanding warrants related to down round provisions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OptionIndexedToIssuersEquitySettlementAlternativesSharesAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Option Contract Indexed to Equity, Settlement, Number of Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OptionIndexedToIssuersEquitySettlementAlternativesSharesAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Option to purchase shares of Company's common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_TheDecember2019NoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">The December 2019 Note [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_TheDecember2019NoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding an unsecured promissory note to a consultant as payment for consulting services performed in 2019.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueRecognitionSoftware_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Recognition, Software [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueRecognitionSoftware_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">License Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ContingentConsiderationObligationsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent Consideration Obligations [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ContingentConsiderationObligationsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contingent consideration obligations.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ContingentConsiderationObligationsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingent Consideration Obligations [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Restricted Stock Units, Non-vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Granted, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityVoluntaryFilers_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Voluntary Filers</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityVoluntaryFilers_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Voluntary Filers</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amendment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwardsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Loss Carryforwards [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PrepaidSoftwareLicenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid software licenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PrepaidSoftwareLicenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Software Licenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PrepaidSoftwareLicenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Prepaid software licenses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Operating Lease Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_September2023OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">September 2023 Offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_September2023OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">September 2023 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_September2023OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">September 2023 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxAssetsLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets Lease Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxAssetsLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred tax assets lease liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxAssetsLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liability, net of current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DomesticCountryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Domestic Tax Jurisdiction [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DomesticCountryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Federal [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OperatingLeasesFutureMinimumPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of required minimum rental payments for leases having an initial or remaining non-cancelable letter-terms in excess of one year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OperatingLeasesFutureMinimumPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases, Future Minimum Payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OperatingLeasesFutureMinimumPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total remaining future minimum lease payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReconciliationOfOperatingProfitLossFromSegmentsToConsolidatedTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reconciliation of Operating Profit (Loss) from Segments to Consolidated [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReconciliationOfOperatingProfitLossFromSegmentsToConsolidatedTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Reconciliation of Loss from Operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MayTwoThousandTwentyTwoWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">May two thousand twenty two warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MayTwoThousandTwentyTwoWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">May Two Thousand Twenty Two Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MayTwoThousandTwentyTwoWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">May 2022 Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Price Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares Sold, Price Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_The2021PlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">The 2021 Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_The2021PlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding the 2021 Equity Incentive Plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_The2021PlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">The 2021 EIP and Inducement Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_February2024WarrantInducementReplacementCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">February 2024 Warrant Inducement Replacement Common Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_February2024WarrantInducementReplacementCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">February 2024 warrant inducement replacement common stock warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeaseDescriptionTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Lease, Description [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of Options, Exercised (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants exercised</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Options Exercised (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Options, Exercisable (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and Development Expense [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Core research and development operating expenses [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDebtTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Debt [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnDispositionOfAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Disposition of Property Plant Equipment, Excluding Oil and Gas Property and Timber Property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnDispositionOfAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loss on disposal of property and equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Component [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFinStmtErrorCorrectionFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Financial Statement Error Correction [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_December2024OfferingPreFundedCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">December 2024 Offering PreFunded Common Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_December2024OfferingPreFundedCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">December 2024 offering prefunded common Stock warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and administrative</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">General and Administrative Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">General and administrative expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_Nsi532Igf1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">NSI-532.IGF-1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_Nsi532Igf1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">NSI-532.IGF-1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_Nsi532Igf1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">NSI-532.IGF-1.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClinicalTrialExpensesPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Clinical Trial Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClinicalTrialExpensesPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Clinical Trial Expenses, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClinicalTrialExpensesPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure of accounting policy for clinical trial expenses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalBalanceSheetDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Balance Sheet Details</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalBalanceSheetDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Balance Sheet Disclosures [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Contingent Consideration, Liability, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent consideration obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Contingent consideration obligation, net of current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Other Nonoperating Income (Expense), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Nonoperating Income (Expense)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other income, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Materially Affected or Reasonably Likely to Materially Affect Registrant [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredEquityIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred equity issuance costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredEquityIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Equity Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredEquityIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred equity issuance costs againist additional paid-in capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PALITwoOneZeroEightMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">PALI Two One Zero Eight [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PALITwoOneZeroEightMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">PALI-2108.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PALITwoOneZeroEightMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PALI-2108 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Processes Integrated [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reconciliation of cash, cash equivalents and restricted cash to the balance sheets:</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseMealsAndEntertainment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Meals and Entertainment, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseMealsAndEntertainment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Meals and entertainment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FinancingCostDerivativeWarrantLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss on issuance of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FinancingCostDerivativeWarrantLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">FinancingCostDerivativeWarrantLiabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FinancingCostDerivativeWarrantLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents amount recognized during the period for the financing cost associated with derivative warrant liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FinancingCostDerivativeWarrantLiabilities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loss on issuance of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfReductionInWorkForce_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reduction in work force</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfReductionInWorkForce_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Reduction In Work Force</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfReductionInWorkForce_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of reduction in work force</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Preferred Stock, Shares Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, shares issued (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PensionAndOtherPostretirementBenefitsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retirement Benefits [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PensionAndOtherPostretirementBenefitsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee Benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lessee discount rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Discount Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Nonvested, Number of Shares, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Nonvested, Number of Shares, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Nonvested, Number of Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares unvested and outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalWarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Capital, Warrant Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalWarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock warrants related to promissory note</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxLiabilitiesRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred tax liabilities right-of-use asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxLiabilitiesRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities Right-of-Use Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredTaxLiabilitiesRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating right-of-use asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for employee stock purchase plan (shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Employee Stock Purchase Plans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Shares issued under the ESPP</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ConsolidationItemsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consolidation Items [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsCurrentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred equity issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsCurrentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Debt Issuance Costs, Current, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsCurrentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Issuance Costs, Current, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Prepaid expenses and other current assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid expenses and other current assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expense and Other Assets, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options Forfeited, expired or cancelled, Weighted Average Exercise Price (in dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Forfeitures in Period, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Restricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Restricted cash, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted cash, noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfArrangementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, shares outstanding (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Common Stock, Shares, Outstanding, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Common Stock, Shares, Outstanding, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value of Financial Instruments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringReserveAccrualAdjustment1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Reserve, Accrual Adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringReserveAccrualAdjustment1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net accrual additions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred Stock, Par or Stated Value Per Share (in dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Par or Stated Value Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Preferred stock, par value (in dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsInProcessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capitalized research and development costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsInProcessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Asset, In-Process Research and Development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncomeTaxReconciliationNondeductibleExpenseWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Income Tax Reconciliation Nondeductible Expense Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncomeTaxReconciliationNondeductibleExpenseWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation Nondeductible Expense Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncomeTaxReconciliationNondeductibleExpenseWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Process for Informing Management or Committees Responsible [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfWeightedAverageNumberOfSharesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Weighted Average Number of Shares [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfWeightedAverageNumberOfSharesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Weighted Average Number of Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfWeightedAverageNumberOfSharesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Schedule of Basic and Diluted Net Loss Per Common Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Other Adjustments, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Others</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Interactive Data Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncomeTaxReconciliationNondeductibleExpenseExpirationOfTaxAttributes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation Nondeductible Expense Expiration of Tax Attributes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncomeTaxReconciliationNondeductibleExpenseExpirationOfTaxAttributes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Expiration of tax attributes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncomeTaxReconciliationNondeductibleExpenseExpirationOfTaxAttributes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expiration of tax attributes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vested, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_February2024WarrantInducementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">February 2024 Warrant Inducement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_February2024WarrantInducementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">February 2024 warrant inducement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_February2024WarrantInducementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">February 2024 Warrant Inducement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Maturities of the Company's operating lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Maturity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSharebasedCompensationRestrictedStockAndRestrictedStockUnitsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Restricted Stock and Restricted Stock Unit, Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSharebasedCompensationRestrictedStockAndRestrictedStockUnitsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Restricted Stock Units Activity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PaycheckProtectionProgramCARESActMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Paycheck Protection Program, CARES Act [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PaycheckProtectionProgramCARESActMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents loan designed to provide funds for small businesses to keep their employees on the payroll.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Granted, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized compensation cost weighted-average period of recognition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued accounts payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued accounts payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the amount of accrued accounts payable, included in accrued liabilities rather than in the Accounts Payable line item.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsLiabilitiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsLiabilitiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net deferred tax asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsLiabilitiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net deferred tax asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpensePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpensePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and Development Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementLocationAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Income Location, Balance [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected contractual life</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringCostAndReserveAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredEquityIssuanceCostsRecognizedAsAReductionInAdditionalPaidInCapitalFromFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred equity issuance costs recognized as a reduction in additional paid-in capital from financing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredEquityIssuanceCostsRecognizedAsAReductionInAdditionalPaidInCapitalFromFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred Equity Issuance Costs Recognized As a Reduction in Additional Paid in Capital From Financing Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_DeferredEquityIssuanceCostsRecognizedAsAReductionInAdditionalPaidInCapitalFromFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Equity Issuance Costs Recognized As a Reduction in Additional Paid in Capital From Financing Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total deferred tax liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total deferred tax liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Total deferred tax liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Restricted Stock Units, Vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of Stock Units, Vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Number of Restricted Stock Units, Vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NoncashOperatingLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Noncash operating lease expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NoncashOperatingLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noncash operating lease expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NoncashOperatingLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash operating lease expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Accounting Pronouncements, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recently Adopted Accounting Pronouncements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressCityOrTown_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, City or Town</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationSeparatelyRecognizedTransactionsAdditionalDisclosuresAcquisitionCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Separately Recognized Transactions, Additional Disclosures, Acquisition Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationSeparatelyRecognizedTransactionsAdditionalDisclosuresAcquisitionCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transaction related costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorLocation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Location</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments of Stock Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from issuance of debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of equity issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Cost inquired with exercise of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Payment of equity issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Materially Affected or Reasonably Likely to Materially Affect Registrant [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Restricted Stock Units, Forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Forfeited in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of shares forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Number of Restricted Stock Units, Forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_August2024OfferingSeries2CommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">August 2024 Offering Series 2 Common Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_August2024OfferingSeries2CommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">August 2024 offering series 2 common stock warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRestructuring_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for Restructuring</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRestructuring_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRestructuring_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Cash paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_StockIssuedDuringPeriodSharesOfCommonStockUponWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of shares issued during the period common stock upon warrant exercises.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_StockIssuedDuringPeriodSharesOfCommonStockUponWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Of Common Stock Upon Warrant Exercises</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_StockIssuedDuringPeriodSharesOfCommonStockUponWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock upon warrant exercises (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_BridgeJanuary2021AndJuly2021CommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Bridge, January 2021, and July 2021 Common Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_BridgeJanuary2021AndJuly2021CommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Bridge, January 2021, and July 2021 common stock warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_Series2WarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series Two Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_Series2WarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series 2 Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_Series2WarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series 2 Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Warrant liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Liability, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative liability, noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Depreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Depreciation, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Depreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Depreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredChargesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred Equity Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredChargesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Charges, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Segment Reporting Information, by Segment [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Third Party Oversight and Identification Processes [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OfficeSpaceLeaseForCorporateHeadquartersInCarlsbadCAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Corpotate Office [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OfficeSpaceLeaseForCorporateHeadquartersInCarlsbadCAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Office Space Lease for Corporate Headquarters in Carlsbad, CA [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OfficeSpaceLeaseForCorporateHeadquartersInCarlsbadCAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Office Space Lease for Corporate Headquarters in Carlsbad, CA [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OfficeSpaceLeaseForCorporateHeadquartersInCarlsbadCAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding an office space lease for corporate headquarters in Carlsbad, CA.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Private Placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Private Placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Incentive Plans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleReportToBoardFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Positions or Committees Responsible Report to Board [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightOutstandingWeightedAverageRemainingContractualLife_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants outstanding, weighted average remaining contratual life (years)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightOutstandingWeightedAverageRemainingContractualLife_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants outstanding, December 31, 2020 (Year)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightOutstandingWeightedAverageRemainingContractualLife_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the weighted average remaining contractual life of warrants or rights outstanding.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ReplacementWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Replacement warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ReplacementWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Replacement Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ReplacementWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Replacement Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingCodmIndividualTitleAndPositionOrGroupOrCommitteeNameExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, CODM, Individual Title and Position or Group Name [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightForfeitedExpiredOrCancelledDuringPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of warrant or right forfeited expired or cancelled during period weighted average exercise price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightForfeitedExpiredOrCancelledDuringPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right Forfeited Expired or Cancelled During Period Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightForfeitedExpiredOrCancelledDuringPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Forfeited, expired, or cancelled, weighted average exercise price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityPublicFloat_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Public Float</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_WarrantInducementAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant Inducement Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_WarrantInducementAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Inducement Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_WarrantInducementAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant Inducement Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Current [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current liabilities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseContractualTermAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease Contractual Term [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Stock and Warrants for Services or Claims</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to vendors</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedJointDevelopmentExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued Joint Development Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedJointDevelopmentExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Joint Development Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedJointDevelopmentExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued joint development expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NumberOfTerminatedLicenseAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of Terminated License Agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NumberOfTerminatedLicenseAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Terminated License Agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NumberOfTerminatedLicenseAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of terminated license agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title of 12(b) Security</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cash and Cash Equivalents, at Carrying Value, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Cash and Cash Equivalents, at Carrying Value, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Cash and cash equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash and Cash Equivalents, at Carrying Value, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents, at Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and cash equivalents, at carrying value, ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MilestonePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Milestone payments.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MilestonePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Milestone Payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MilestonePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Milestone payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightIssuedDuringPeriodWeightedAverageRemainingContractualLife_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of warrant or right issued during period weighted average remaining contractual life.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightIssuedDuringPeriodWeightedAverageRemainingContractualLife_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right Issued During Period Weighted Average Remaining Contractual Life</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightIssuedDuringPeriodWeightedAverageRemainingContractualLife_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Granted, weighted average remaining contractual life</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management, Strategy, and Governance [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Stockholders' Equity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance, Beginning</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance, Ending</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalPeriodFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Period Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Shares withheld for payment of employee withholding tax liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment, Tax Withholding, Share-Based Payment Arrangement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of options, Granted (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Options, Granted (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Restricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Restricted Cash and Cash Equivalents, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash and Cash Equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockDividendRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred Stock, Dividend Rate, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockDividendRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Dividend Rate, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantDownRoundFeatureIncreaseDecreaseInEquityAmount1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Adjustment to record the impact of exercise price reset on outstanding warrants related to down round provisions diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantDownRoundFeatureIncreaseDecreaseInEquityAmount1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustment to record the impact of exercise price reset on outstanding warrants related to down round provisions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantDownRoundFeatureIncreaseDecreaseInEquityAmount1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant, Down Round Feature, Increase (Decrease) in Equity, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeasesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeasesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Leases [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedPaymentAwardStockOptionsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Fair Value of Options Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedPaymentAwardStockOptionsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Share-Based Payment Award, Stock Options, Valuation Assumptions [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingSegmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Segments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingSegmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating Segments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncomeTaxReconciliationOtherNonDeductibleExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Other non-deductible expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncomeTaxReconciliationOtherNonDeductibleExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation Other Non-Deductible Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_IncomeTaxReconciliationOtherNonDeductibleExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other non-deductible expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">State taxes - net of federal benefit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Exercise Price of Warrants or Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Warrants exercise price of common stock warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants exercise price of common stock Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Weighted average exercise price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instruments [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PlacementAgentSolicitorAndRepresentativeCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Placement Agent, Solicitor and Representative Common Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PlacementAgentSolicitorAndRepresentativeCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Placement agent, solicitor and representative common stock warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsidiarySaleOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from investing activities:</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasicLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer, Excluding Assessed Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">License revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Statutory Federal Income Tax Rate Applied to Loss Before Income Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Effective Income Tax Rate Reconciliation [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementStrategyAndGovernanceAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management, Strategy, and Governance [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PlacementAgentWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Placement Agent Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PlacementAgentWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Placement Agent Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PlacementAgentWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Placement agent warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NotesToFinancialStatementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Notes To Financial Statements [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NotesToFinancialStatementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Notes To Financial Statements Abstract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_UnderwritingCommitmentsPerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Underwriting Commitments Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_UnderwritingCommitmentsPerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Underwriting agreement, per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_UnderwritingCommitmentsPerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Underwriting commitments, per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_RoyaltyRatePortionOfSublicenseIncomeToBePaidPercentageOfOneThirdOfUpfrontPaymentAndMilestonePaymentReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">pali_RoyaltyRatePortionOfSublicenseIncomeToBePaidPercentageOfOneThirdOfUpfrontPaymentAndMilestonePaymentReceived</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_RoyaltyRatePortionOfSublicenseIncomeToBePaidPercentageOfOneThirdOfUpfrontPaymentAndMilestonePaymentReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the royalty rate on the portion of sublicense income to be paid, expressed as a percentage of one-third of the upfront payment and milestone payment received.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_RoyaltyRatePortionOfSublicenseIncomeToBePaidPercentageOfOneThirdOfUpfrontPaymentAndMilestonePaymentReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Royalty rate, portion of sublicense income to be paid, percentage of one-third of upfront payment and milestone payment received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_May2024OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">May 2024 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_May2024OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">May 2024 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_May2024OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">May 2024 Offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Accrued Liabilities, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Period End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Period End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash provided by financing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Financing Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expense and Other Assets [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_IcfrAuditorAttestationFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">ICFR Auditor Attestation Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_IcfrAuditorAttestationFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">ICFR Auditor Attestation Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Anti-dilutive securities (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Restructuring Reserve, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance as of the beginning of year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance as of the end of year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">APIC, Share-based Payment Arrangement, Increase for Cost Recognition, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">APIC, Share-Based Payment Arrangement, Increase for Cost Recognition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation expense and related charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Accrued Liabilities, current, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_December2024OfferingCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">December 2024 Offering Common Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_December2024OfferingCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">December 2024 offering common stock warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherResearchAndDevelopmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Research and Development Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherResearchAndDevelopmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other research and development expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingCodmProfitLossMeasureHowUsedDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, CODM, Profit (Loss) Measure, How Used, Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DefinedBenefitPlanAdministrationExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Defined Benefit Plan, Plan Assets, Administration Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DefinedBenefitPlanAdministrationExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_December2024OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">December 2024 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_December2024OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">December 2024 Offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_December2024OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">December 2024 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Income tax expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_TradingSymbol_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Trading Symbol</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total stockholders' equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Attributable to Parent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total deferred tax assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total deferred tax assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of warrants outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationOptionAndIncentivePlansPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-Based Compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationOptionAndIncentivePlansPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInstrumentRiskAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Instrument [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock Units (RSUs) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted Stock Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale of stock during period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Number of Shares Issued in Transaction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementStrategyAndGovernanceTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management, Strategy, and Governance [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Initial fair value at the original issuance date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Issuances</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_DE_lbl" xlink:role="http://www.xbrl.org/2003/role/label">DELAWARE</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_DE_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Delaware [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementExpertiseOfManagementResponsibleTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Expertise of Management Responsible [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Stock-based Compensation for all Stock Awards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued Liabilities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputDiscountRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Discount Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputDiscountRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Discount Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value during the period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_JanuaryTwoThousandTwentyThreeWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January 2023 Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_JanuaryTwoThousandTwentyThreeWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">January Two Thousand Twenty Three Warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_JanuaryTwoThousandTwentyThreeWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January Two Thousand Twenty Three Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementGeographicalAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedStockOptions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized compensation cost related to outstanding options</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedStockOptions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Option, Cost Not yet Recognized, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MaximumAggregateConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum Aggregate Consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MaximumAggregateConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Maximum aggregate consideration.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MaximumAggregateConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum Aggregate Consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRestructuringAndRelatedCostsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring and Related Costs [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRestructuringAndRelatedCostsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Accrued liabilities in the consolidated balance sheet</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Use of Estimates</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Use of Estimates, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NumberOfLicenseAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">pali_NumberOfLicenseAgreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NumberOfLicenseAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the number of license agreements in place.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NumberOfLicenseAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of license agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedInsuranceCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Insurance, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedInsuranceCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Insurance financing debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Security Exchange Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share Based Compensation Arrangement By Share Based Payment Award Fair Value Assumptions Weighted Average Risk Free Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Fair Value Assumptions Weighted Average Risk Free Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average risk-free interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RepurchaseAgreementCounterpartyNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Counterparty Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwardsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Loss Carryforwards [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeniorSecuredPromissoryNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Secured Promissory Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeniorSecuredPromissoryNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding the Senior Secured Promissory Notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total operating expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total operating expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to vendor</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Issued for Services</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementClassOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CostReductionPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cost Reduction Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CostReductionPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost Reduction Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CostReductionPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">cost reduction plan Member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Measurements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average grant date fair value of options granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfGrossProceeds_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of gross proceeds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfGrossProceeds_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of gross proceeds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfGrossProceeds_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Gross Proceeds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PaymentOfWarrantInducementIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of warrant inducement issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PaymentOfWarrantInducementIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment of Warrant Inducement Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PaymentOfWarrantInducementIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payment of warrant inducement issuance costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities and stockholders' equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Operating Lease, Right-of-Use Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Right-of-Use Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease right-of-use asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental disclosures of cash flow information:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Cash Flow Information [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FairValueOfWarrantsIssuedToSolicitationAgent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value of Warrants Issued to Solicitation Agent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FairValueOfWarrantsIssuedToSolicitationAgent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value of warrants issued to solicitation agent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FairValueOfWarrantsIssuedToSolicitationAgent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of warrants issued to solicitation agent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CompensationAndRetirementDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retirement Benefits [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Earnings Per Share, Diluted, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Diluted net loss per common share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesReverseStockSplits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reverse stock split fractional share settlement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesReverseStockSplits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Reverse Stock Splits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_April2023OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">April 2023 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_April2023OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">April 2023 Offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_April2023OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">April 2023 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in investing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Investing Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Weighted Average Volatility Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average volatility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SummaryOfSignificantAccountingPoliciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Summary Of Significant Accounting Policies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SummaryOfSignificantAccountingPoliciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary Of Significant Accounting Policies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SummaryOfSignificantAccountingPoliciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary Of Significant Accounting Policies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NumberOfTradingDays_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Consecutive trading day period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NumberOfTradingDays_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Trading Days</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NumberOfTradingDays_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number Of Trading Days</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, New Issues (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Offering shares (Per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Issuance of stock during period, Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFilerCategory_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Filer Category</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeniorSecuredPromissoryNoteWarrantsSecondClosingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Secured Promissory Note Warrants, Second Closing [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeniorSecuredPromissoryNoteWarrantsSecondClosingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding warrants associated with the second closing of the Senior Secured Promissory Notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid insurance, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expense, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Prepaid Expense, Noncurrent, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Available to Common Stockholders, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss attributable to common shares - diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net loss attributable to common shares - diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Organization and Business</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization, Consolidation and Presentation of Financial Statements Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonoperating Income (Expense) [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other (expense) income:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Fiscal Year End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Imputed interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, Undiscounted Excess Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Less: imputed interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: imputed interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfShortTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Repayments of Short-term Debt, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfShortTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Short-Term Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfShortTermDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payments on insurance financing debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Share-based Payment Arrangement, Noncash Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Noncash Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation and related charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock-based compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options Outstanding, Aggregate Intrinsic Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Intrinsic Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_InducementPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">2021 Inducement plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_InducementPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">2021 Inducement Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_InducementPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2021 Inducement Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current portion of contingent consideration obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Contingent Consideration, Liability, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NetProceedsFromInsuranceFinancingDebtIncludedInPrepaidAndOtherAssetsAndOherNoncurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Net proceeds from insurance financing debt included in prepaid and other assets and other noncurrent assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NetProceedsFromInsuranceFinancingDebtIncludedInPrepaidAndOtherAssetsAndOherNoncurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Proceeds from Insurance Financing Debt Included in Prepaid and Other Assets and Oher Noncurrent Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NetProceedsFromInsuranceFinancingDebtIncludedInPrepaidAndOtherAssetsAndOherNoncurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Insurance financing debt included in prepaid and other current assets and other noncurrent assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Registrant Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Registrant Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_StockPurchaseWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Purchase Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_StockPurchaseWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information pertaining to stock purchase warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_StockPurchaseWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant Liabilities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightExercisedDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Exercised (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightExercisedDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">pali_ClassOfWarrantOrRightExercisedDuringPeriod</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightExercisedDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of warrants or rights exercised during period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Reportable Segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of reportable segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NetProceeds_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Proceeds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NetProceeds_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Net Proceeds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NetProceeds_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Proceeds from the exercise of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Loss Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Emerging Growth Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasicAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Available to Common Stockholders, Basic [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasicAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basic and diluted net loss per common share:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MoneyMarketFundsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Money Market Funds [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MoneyMarketFundsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Money Market Funds [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Weighted Average Number of Shares Outstanding, Basic, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted average shares used in calculating basic loss per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Basic weighted average shares used in computing net loss per common share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average shares used in calculating basic loss per common share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VestingDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vesting [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingenciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss Contingencies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicByCommonClassTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic, by Common Class, Including Two-Class Method [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_WarrantsIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_WarrantsIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_WarrantsIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total equity issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock, Shares Authorized (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares Authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Proceeds from issuance of common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from issuance of common stock and warrants</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueVested_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value, Vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueVested_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Grant date fair value of the options vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable and accrued liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Increase (Decrease) in Accounts Payable and Accrued Liabilities, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Payable and Accrued Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageExpectedDividend_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Weighted Average Expected Dividend</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageExpectedDividend_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average expected dividend yield</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Outstanding, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentsIncorporatedByReferenceTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Documents Incorporated by Reference [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentsIncorporatedByReferenceTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Documents Incorporated by Reference</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockValueSharesIssuedNetOfTaxWithholdings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock, Value, Shares Issued Net of Tax Withholdings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockValueSharesIssuedNetOfTaxWithholdings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for vesting of restricted stock units, net of employee withholding tax liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options Granted, Weighted Average Exercise Price (in dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Grants in Period, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instrument [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options Outstanding, Weighted Average Remaining Contractual Life (Year)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_The2013PlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2013 Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_The2013PlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">The 2013 Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_The2013PlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The 2013 Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CollaborationsAndLicenseAgreementsUpfrontFee_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collaborations and license agreements upfront fee.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CollaborationsAndLicenseAgreementsUpfrontFee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborations and License Agreements Upfront Fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CollaborationsAndLicenseAgreementsUpfrontFee_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collaborations and license agreements upfront fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expense [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and Administrative Expense [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_GrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Grant date fair value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_GrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_GrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Grant date fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_October2020NoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">October 2020 Note [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_October2020NoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">October 2020 Note [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_October2020NoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding an unsecured promissory note issued in October 2020.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ConvertiblePreferredStockIssuableUponConversionOfAllShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Preferred Stock, Issuable Upon Conversion of All Shares (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ConvertiblePreferredStockIssuableUponConversionOfAllShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">pali_ConvertiblePreferredStockIssuableUponConversionOfAllShares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ConvertiblePreferredStockIssuableUponConversionOfAllShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of shares issuable for all shares of a given class of convertible preferred stock that may be converted.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedCMCExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued C M C Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedCMCExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the amount of accrued CMC expenses as of the balance sheet date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedCMCExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued chemistry, manufacturing and controls ("CMC") expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants for additional gross cash proceeds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Gross proceeds from the exercise of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskRoleOfManagementTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Role of Management [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingPoliciesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Policies [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesCPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series C Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesCPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series C Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Summarized Stock Option Activity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Option, Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Table Text Block [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Attributable to Parent [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stockholders' equity:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsRestrictedCashAndCashEquivalentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsRestrictedCashAndCashEquivalentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents, Restricted Cash and Cash Equivalents, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRequisiteServicePeriod1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Award Requisite Service Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRequisiteServicePeriod1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Service period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options Vested and expected to vest, Weighted Average Remaining Contractual Life (Year)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Outstanding, Weighted Average Remaining Contractual Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PreFundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pre Funded Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PreFundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pre Funded Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PreFundedWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pre funded warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, shares authorized (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Adjustment of Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Incremental fair value of Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">License Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer, Including Assessed Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity File Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Segment Information</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Period Increase (Decrease), Including Exchange Rate Effect</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net (decrease) increase in cash, cash equivalents and restricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss per common share:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstandingTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Date of issuance of warrant</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstandingTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants and Rights Outstanding, Term (Year)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstandingTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants and Rights Outstanding, Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AltiumGrowthFundLPMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Altium Growth Fund, LP [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AltiumGrowthFundLPMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Altium Growth Fund, LP [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AltiumGrowthFundLPMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding Altium Growth Fund, LP (the "Investor").</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Share-Based Compensation Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseContractualTermDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease Contractual Term [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfFinancialPositionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Financial Position [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest expense</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Interest Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense, Operating and Nonoperating</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_TimeBasedRestrictedStockUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Time Based Restricted Stock Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_TimeBasedRestrictedStockUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Time based restricted stock units.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_TimeBasedRestrictedStockUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Time-based RSU [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Loss from operations</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Volatility Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected stock price volatility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OtherNoncurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other noncurrent assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OtherNoncurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Noncurrent Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OtherNoncurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sum of the carrying amounts as of the balance sheet date of other noncurrent assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Shell Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Tax Identification Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_July2020NoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">July 2020 Note [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_July2020NoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding an unsecured promissory note issued in July 2020.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_LicenseAgreementsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">License Agreements [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_LicenseAgreementsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The entire disclosure for license agreements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_LicenseAgreementsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collaborations and License Agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCurrentReportingStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Current Reporting Status</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss attributable to common shares - basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reduction in income available to common shareholders</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Available to Common Stockholders, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net loss available to common stockholders - basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options Exercisable, Weighted Average Remaining Contractual Life (Year)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Weighted Average Remaining Contractual Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financing arrangement interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Interest Rate During Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_SegmentGeographicalDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Year Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OriginalFinancingAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Original Financing Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_OriginalFinancingAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents information regarding the original financing agreements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other general and administrative expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other General and Administrative Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tranche Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Tranche Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Preferred Stock, Value, Issued, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Preferred Stock, Value, Issued, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Preferred Stock, Value, Issued, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Value, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A Convertible Preferred Stock, $0.01 par value, 7,000,000 shares authorized; 200,000 issued and outstanding at December 31, 2024 and December 31, 2023</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageExpectedTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share Based Compensation Arrangement By Share Based Payment Award Fair Value Assumptions Weighted-average expected term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageExpectedTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Fair Value Assumptions Weighted-average expected term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageExpectedTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average expected term (years)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total cash, cash equivalents and restricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total cash, cash equivalents and restricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Including Disposal Group and Discontinued Operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Cash, cash equivalents and restricted cash, beginning of year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash, cash equivalents and restricted cash, end of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">City Area Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeContractTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Contract [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_LegacyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_LegacyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Legacy.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_LegacyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legacy [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Local Phone Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Preferred Stock, Shares Outstanding, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Preferred Stock, Shares Outstanding, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, shares outstanding (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Additional Paid in Capital, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Additional Paid in Capital, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Additional Paid in Capital, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid in Capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional paid-in capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CashTransactionRelatedExpensesAndPlacementAgentFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash transaction-related expenses And placement agent fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CashTransactionRelatedExpensesAndPlacementAgentFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash transaction-related expenses And placement agent fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CashTransactionRelatedExpensesAndPlacementAgentFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash transaction-related expenses And placement agent fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockSharesIssuedNetOfSharesForTaxWithholdings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock, Shares Issued Net of Shares for Tax Withholdings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockSharesIssuedNetOfSharesForTaxWithholdings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for vesting of restricted stock units, net of employee withholding tax liability (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsQuantitativeInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureTextBlockAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes to Financial Statements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureTextBlockAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disclosure Text Block [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Jurisdiction [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Proceeds (payments) from the redemption of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Warrant Exercises</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from the exercise of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCostsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred equity issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCostsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Costs, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCostsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Costs, Current, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_December2024RepresentativeWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">December 2024 Representative Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_December2024RepresentativeWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">December 2024 Representative Warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightIssuedDuringPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Granted, weighted average exercise price (in dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightIssuedDuringPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted average exercise price per share of warrants or rights issued during period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Deferred Tax Assets and Liabilities [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Deferred Income Tax Assets and Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MayTwoThousandTwentyFourOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">May Two Thousand Twenty Four Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MayTwoThousandTwentyFourOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">May Two Thousand Twenty Four Offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_MayTwoThousandTwentyFourOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">May 2024 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability, Current</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_Series1PreferredStockOfLBSMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series 1 Preferred Stock of LBS [Member]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants outstanding, weighted average exercise price (in dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the weighted average exercise price of warrants or rights outstanding.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilitiesPrepaidExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Prepaid Expenses</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilitiesPrepaidExpenses_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Prepaid expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SublicenseFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sublicense Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SublicenseFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sublicense fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SublicenseFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sublicense fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Jurisdiction [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertiblePreferredStockSharesIssuedUponConversion_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Preferred Stock, Shares Issued upon Conversion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertiblePreferredStockSharesIssuedUponConversion_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Preferred Stock issued and outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Retained Earnings [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Purchases of property and equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Payments to Acquire Property, Plant, and Equipment, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Property, Plant, and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ReverseStockSplitPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reverse stock split, policy [Policy Text Block].</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ReverseStockSplitPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reverse Stock Split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ReverseStockSplitPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reverse Stock Split, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Transition Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FairValueOfWarrantsIssuedToPlacementAgents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value of Warrants Issued to Placement Agents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FairValueOfWarrantsIssuedToPlacementAgents_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value of warrants Issued to placement agents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_FairValueOfWarrantsIssuedToPlacementAgents_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of warrants issued to placement agents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Purchase Price of Common Stock, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of purchase price of common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedDirectorStipends_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued director stipends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedDirectorStipends_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued director stipends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AccruedDirectorStipends_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the amount of accrued director stipends as of the balance sheet date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CostReductionPlanTwentyTwentyThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cost Reduction Plan Twenty Twenty Three [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CostReductionPlanTwentyTwentyThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost Reduction Plan Twenty Twenty Three [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CostReductionPlanTwentyTwentyThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023 RIF [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromStockPlans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Stock Plans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromStockPlans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from issuance of common stock under Employee Stock Purchase Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Exercises in Period, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average exercise price per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskCreditRisk_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentration of Credit Risk</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskCreditRisk_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk, Credit Risk, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorFirmId_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Firm ID</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareReconciliationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share Reconciliation [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options Vested and expected to vest, Aggregate Intrinsic Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Outstanding, Aggregate Intrinsic Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightForfeitedExpiredOrCancelledDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Forfeited, expired or cancelled (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightForfeitedExpiredOrCancelledDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">pali_ClassOfWarrantOrRightForfeitedExpiredOrCancelledDuringPeriod</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightForfeitedExpiredOrCancelledDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of warrants or rights forfeited, expired or cancelled during period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-vested, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Exercise price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid-in Capital [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional Paid-in Capital [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityWellKnownSeasonedIssuer_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Well-known Seasoned Issuer</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustments to reconcile net loss to net cash used in operating activities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Reconcile Net Income (Loss) to Cash Provided by (Used in) Operating Activities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ScheduleOfWarrantOutstandingAndExercisableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Warrant Outstanding And Exercisable [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ScheduleOfWarrantOutstandingAndExercisableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Tabular disclosure of warrants outstanding and exercisable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ScheduleOfWarrantOutstandingAndExercisableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Stockholders' Equity warrant outstanding and exercisable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementLocationDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Income Location, Balance [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PrepaidSubscriptionsAndFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid subscriptions and fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PrepaidSubscriptionsAndFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Subscriptions and Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PrepaidSubscriptionsAndFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Prepaid subscriptions and fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other noncurrent assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Assets, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Other noncurrent assets, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NetProceedsFromIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Net proceeds from issuance of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NetProceedsFromIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net proceeds from issuance of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NetProceedsFromIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net proceeds from exercise of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherPrepaidExpenseCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherPrepaidExpenseCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Prepaid Expense, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PerformanceSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Performance Based Stock Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PerformanceSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Performance Shares [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassBUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class B Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassBUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class B Units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Common Stock, Shares Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Basis of Accounting, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basis of Presentation and Consolidation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants and Rights Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants and Rights Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Incremental Value of Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Common Stock, Value, Issued, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Common Stock, Value, Issued, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Common Stock, Value, Issued, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Value, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, $0.01 par value; 280,000,000 shares authorized; 2,768,646 and 618,056 shares issued and outstanding at December 31, 2024 and December 31, 2023, respectively</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Increase (Decrease) in Employee Related Liabilities, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Employee Related Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued compensation and benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PrepaidExpensesAndOtherCurrentAssetsOtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other receivables</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PrepaidExpensesAndOtherCurrentAssetsOtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expenses and Other Current Assets Other Receivables</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PrepaidExpensesAndOtherCurrentAssetsOtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Prepaid expenses and other current assets, other receivables.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidInsurance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid insurance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidInsurance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Insurance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ContingentConsiderationObligationsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure of accounting policy for contingent consideration obligations.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ContingentConsiderationObligationsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingent Consideration Obligations [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ContingentConsiderationObligationsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent Consideration Obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value of the company's cash and cash equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageCostInPatentRight_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage cost in patent right</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageCostInPatentRight_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Cost in Patent Right</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageCostInPatentRight_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage cost in patent right</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsCostOfEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share based compensation arrangement by share based payment award fair value assumptions Cost of equity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsCostOfEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Fair Value Assumptions Cost Of Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsCostOfEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cost of equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash consideration.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_CashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAccruedLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Accrued Liabilities [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAccruedLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Accrued Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Tax Assets, Operating Loss Carryforwards, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Operating Loss Carryforwards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net operating loss carryforwards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and contingencies (Note 8)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted average shares used in calculating diluted loss per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Weighted average shares used in calculating diluted loss per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average shares used in calculating diluted loss per common share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Significant Accounting Policies</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Significant Accounting Policies [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseExcludingAcquiredInProcessCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseExcludingAcquiredInProcessCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseRenewalTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Renewal Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseRenewalTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lessee, operating lease, renewal term (Month)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Options, Vested and expected to vest (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Outstanding, Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementThirdPartyEngagedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Third Party Engaged [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeptemberTwoThousandAndTwentyThreeOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">September Two Thousand And Twenty Three Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeptemberTwoThousandAndTwentyThreeOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">September two thousand And twenty three offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SeptemberTwoThousandAndTwentyThreeOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">September 2023 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SummaryOfSignificantAccountingPoliciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Summary Of Significant Accounting Policies [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_SummaryOfSignificantAccountingPoliciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary Of Significant Accounting Policies [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringReserveAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Reserve [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightNumberOfRightsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of warrant or right number of rights issued.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightNumberOfRightsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right Number of Rights Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightNumberOfRightsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent value right issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average shares used in computing loss per common share:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PeriodOfExpirationOfLicenseAgreementDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Period of Expiration of License Agreement Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PeriodOfExpirationOfLicenseAgreementDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Period of Expiration of License Agreement Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PeriodOfExpirationOfLicenseAgreementDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Period of Expiration of License Agreement Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Small Business</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting Information [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AllOtherCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">All Other Common Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_AllOtherCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">All other common stock warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementProcessesForAssessingIdentifyingAndManagingThreatsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Processes for Assessing, Identifying, and Managing Threats [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NonCashWarrantIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Cash Warrant Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NonCashWarrantIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non cash warrant issuance costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NonCashWarrantIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash warrant issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightExercisedDuringPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of warrant or right exercised during period weighted average exercise price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightExercisedDuringPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right Exercised During Period Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightExercisedDuringPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercised, weighted average exercise price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_JanuaryTwoThousandAndTwentyThreeOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January Two Thousand And Twenty Three Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_JanuaryTwoThousandAndTwentyThreeOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">January two thousand And twenty three offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_JanuaryTwoThousandAndTwentyThreeOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January 2023 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to vendor (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Issued for Services</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassAUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class A Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassAUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class A Units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDilutedAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Available to Common Stockholders, Diluted [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDilutedAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Diluted net loss per common share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfShareIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of Share Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfShareIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Share Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_PercentageOfShareIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of share issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_December2022WarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">December 2022 Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_December2022WarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">December 2022 warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from financing activities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Financing Activities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Options Outstanding, Weighted Average Exercise Price (in dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Options Outstanding, Weighted Average Exercise Price (in dollars per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average exercise price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightNumberOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightNumberOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Warrants outstanding, balance (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightNumberOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Warrants outstanding, balance (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightNumberOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">pali_ClassOfWarrantOrRightNumberOutstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ClassOfWarrantOrRightNumberOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the number of warrants or rights outstanding as of the specified date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StateAndLocalJurisdictionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">State and Local Jurisdiction [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StateAndLocalJurisdictionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">State [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NonCashWarrantModificationCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash warrant modification costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NonCashWarrantModificationCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Cash Warrant Modification Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_NonCashWarrantModificationCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non cash warrant modification costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_January2023OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January 2023 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_January2023OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">January 2023 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_January2023OfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January 2023 Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesPerEmployee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Maximum Number of Shares Per Employee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesPerEmployee_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum number of shares per employee (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Tax Assets, Valuation Allowance, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Valuation Allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Valuation allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Valuation allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ProceedsDepositedIntoTheCvrEscrow_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds deposited into the CVR escrow.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ProceedsDepositedIntoTheCvrEscrow_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds Deposited into the CVR Escrow</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="pali_ProceedsDepositedIntoTheCvrEscrow_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds deposited into the CVR escrow</link:label>
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  <xsd:element id="pali_ClinicalTrialExpensesPolicyPolicyTextBlock" name="ClinicalTrialExpensesPolicyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_AccruedDirectorStipends" name="AccruedDirectorStipends" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_ProceedsDepositedIntoTheCvrEscrow" name="ProceedsDepositedIntoTheCvrEscrow" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_ClassOfWarrantOrRightExercisedDuringPeriodWeightedAverageExercisePrice" name="ClassOfWarrantOrRightExercisedDuringPeriodWeightedAverageExercisePrice" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_DeferredEquityIssuanceCostsRecognizedAsAReductionInAdditionalPaidInCapitalFromFinancingActivities" name="DeferredEquityIssuanceCostsRecognizedAsAReductionInAdditionalPaidInCapitalFromFinancingActivities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_RecurringFairValueMeasurementsOfLiabilities" name="RecurringFairValueMeasurementsOfLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_FinancingCostDerivativeWarrantLiabilities" name="FinancingCostDerivativeWarrantLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_CostReductionPlanTwentyTwentyThreeMember" name="CostReductionPlanTwentyTwentyThreeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_TimeBasedRestrictedStockUnitsMember" name="TimeBasedRestrictedStockUnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_Series1PreferredStockOfLBSMember" name="Series1PreferredStockOfLBSMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_ClassOfWarrantOrRightForfeitedExpiredOrCancelledDuringPeriod" name="ClassOfWarrantOrRightForfeitedExpiredOrCancelledDuringPeriod" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_The2021EsppMember" name="The2021EsppMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_IncomeTaxReconciliationNondeductibleExpenseExpirationOfTaxAttributes" name="IncomeTaxReconciliationNondeductibleExpenseExpirationOfTaxAttributes" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_JanuaryTwoThousandAndTwentyThreeOfferingMember" name="JanuaryTwoThousandAndTwentyThreeOfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_SeniorSecuredPromissoryNotesMember" name="SeniorSecuredPromissoryNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_NetProceedsFromIssuanceOfWarrants" name="NetProceedsFromIssuanceOfWarrants" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_SummaryOfSignificantAccountingPoliciesLineItems" name="SummaryOfSignificantAccountingPoliciesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_JanuaryTwoThousandTwentyThreeWarrantsMember" name="JanuaryTwoThousandTwentyThreeWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_ClassOfWarrantOrRightNumberOutstanding" name="ClassOfWarrantOrRightNumberOutstanding" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="pali_ContingentConsiderationObligationsMember" name="ContingentConsiderationObligationsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_PrepaidSoftwareLicenses" name="PrepaidSoftwareLicenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_AllOtherCommonStockWarrantsMember" name="AllOtherCommonStockWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_April2023OfferingMember" name="April2023OfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_BridgeJanuary2021AndJuly2021CommonStockWarrantsMember" name="BridgeJanuary2021AndJuly2021CommonStockWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_FinancingAgreementsMember" name="FinancingAgreementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_ClassBUnitsMember" name="ClassBUnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_ContingentValueRightProRataNetProceedsFromSaleOrLicensing" name="ContingentValueRightProRataNetProceedsFromSaleOrLicensing" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_DeferredTaxLiabilitiesRightOfUseAsset" name="DeferredTaxLiabilitiesRightOfUseAsset" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_RetainedEarningsAccumulatedIncomeDeficit" name="RetainedEarningsAccumulatedIncomeDeficit" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_AccruedJointDevelopmentExpenses" name="AccruedJointDevelopmentExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_SeniorSecuredPromissoryNoteWarrantsSecondClosingMember" name="SeniorSecuredPromissoryNoteWarrantsSecondClosingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_AdditionalFinancingAgreementsOneMember" name="AdditionalFinancingAgreementsOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_RoyaltyRatePortionOfSublicenseIncomeToBePaidPercentageOfOneThirdOfUpfrontPaymentAndMilestonePaymentReceived" name="RoyaltyRatePortionOfSublicenseIncomeToBePaidPercentageOfOneThirdOfUpfrontPaymentAndMilestonePaymentReceived" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="pali_February2024WarrantInducementMember" name="February2024WarrantInducementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_PercentageOfShareIssued" name="PercentageOfShareIssued" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="pali_NumberOfTerminatedLicenseAgreements" name="NumberOfTerminatedLicenseAgreements" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="pali_AccruedCMCExpenses" name="AccruedCMCExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_ClassOfWarrantOrRightForfeitedExpiredOrCancelledDuringPeriodWeightedAverageExercisePrice" name="ClassOfWarrantOrRightForfeitedExpiredOrCancelledDuringPeriodWeightedAverageExercisePrice" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_OriginalFinancingAgreementsMember" name="OriginalFinancingAgreementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_ReverseStockSplitPolicyPolicyTextBlock" name="ReverseStockSplitPolicyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_NumberOfTradingDays" name="NumberOfTradingDays" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_SeriesA4Point5PercentConvertiblePreferredStockMember" name="SeriesA4Point5PercentConvertiblePreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_UnderwritingCommitmentsPerShare" name="UnderwritingCommitmentsPerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="pali_ClassOfWarrantOrRightExercisedDuringPeriod" name="ClassOfWarrantOrRightExercisedDuringPeriod" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_AdditionalFinancingAgreementsTwoMember" name="AdditionalFinancingAgreementsTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_OutOfPocketExpenses" name="OutOfPocketExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_UnregisteredSharesMember" name="UnregisteredSharesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_December2024OfferingMember" name="December2024OfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_May2024OfferingMember" name="May2024OfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_DeferredTaxAssetsDepreciation" name="DeferredTaxAssetsDepreciation" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_ProgramExpenses" name="ProgramExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_RepricedWarrantsMember" name="RepricedWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_AccruedClinicalTrialCosts" name="AccruedClinicalTrialCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_StockIssuedDuringPeriodValueOfCommonStockUponWarrantExercises" name="StockIssuedDuringPeriodValueOfCommonStockUponWarrantExercises" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_July2020NoteMember" name="July2020NoteMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_TheDecember2019NoteMember" name="TheDecember2019NoteMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_PaymentOfWarrantInducementIssuanceCosts" name="PaymentOfWarrantInducementIssuanceCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_May2024PlacementAgentWarrantsMember" name="May2024PlacementAgentWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_PercentageOfGrossProceeds" name="PercentageOfGrossProceeds" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="pali_ReplacementWarrantsMember" name="ReplacementWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_GrantDateFairValue" name="GrantDateFairValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_MilestonePayments" name="MilestonePayments" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_December2022WarrantsMember" name="December2022WarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_MayTwoThousandTwentyFourOfferingMember" name="MayTwoThousandTwentyFourOfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_ContingentConsiderationObligationsPolicyTextBlock" name="ContingentConsiderationObligationsPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_IncomeTaxReconciliationNondeductibleExpenseWarrants" name="IncomeTaxReconciliationNondeductibleExpenseWarrants" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_PrepaidSubscriptionsAndFees" name="PrepaidSubscriptionsAndFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_UncertainIncomeTaxPositions" name="UncertainIncomeTaxPositions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_CashTransactionRelatedExpensesAndPlacementAgentFees" name="CashTransactionRelatedExpensesAndPlacementAgentFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_ConvertiblePreferredStockIssuableUponConversionOfAllShares" name="ConvertiblePreferredStockIssuableUponConversionOfAllShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="pali_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageExpectedTerm" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageExpectedTerm" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_IncomeTaxReconciliationOtherNonDeductibleExpenses" name="IncomeTaxReconciliationOtherNonDeductibleExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_ClosingPeriodOfMergerAgreement" name="ClosingPeriodOfMergerAgreement" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_InducementPlanMember" name="InducementPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_NetProceeds" name="NetProceeds" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_PALITwoOneZeroEightMember" name="PALITwoOneZeroEightMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_ClassOfWarrantOrRightIssuedDuringPeriodWeightedAverageExercisePrice" name="ClassOfWarrantOrRightIssuedDuringPeriodWeightedAverageExercisePrice" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_MayTwoThousandTwentyTwoWarrantsMember" name="MayTwoThousandTwentyTwoWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_CollaborationsAndLicenseAgreementsUpfrontFee" name="CollaborationsAndLicenseAgreementsUpfrontFee" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_SublicenseFees" name="SublicenseFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_ClassAUnitsMember" name="ClassAUnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_August2024OfferingSeries2CommonStockWarrantsMember" name="August2024OfferingSeries2CommonStockWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_PeriodOfExpirationOfLicenseAgreementDescription" name="PeriodOfExpirationOfLicenseAgreementDescription" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_AprilTwoThousandTwentyThreeWarrantsMember" name="AprilTwoThousandTwentyThreeWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_AltiumGrowthFundLPMember" name="AltiumGrowthFundLPMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_FairValueOfWarrantsIssuedToSolicitationAgent" name="FairValueOfWarrantsIssuedToSolicitationAgent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_NonCashWarrantIssuanceCosts" name="NonCashWarrantIssuanceCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_WarrantInducementAndEquityIssuanceCostsIncludedInAccountsPayableAndAccruedLiabilities" name="WarrantInducementAndEquityIssuanceCostsIncludedInAccountsPayableAndAccruedLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_PrepaidExpensesAndOtherCurrentAssetsOtherReceivables" name="PrepaidExpensesAndOtherCurrentAssetsOtherReceivables" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_NetProceedsFromInsuranceFinancingDebtIncludedInPrepaidAndOtherAssetsAndOherNoncurrentAssets" name="NetProceedsFromInsuranceFinancingDebtIncludedInPrepaidAndOtherAssetsAndOherNoncurrentAssets" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageRiskFreeInterestRate" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageRiskFreeInterestRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_The2013PlanMember" name="The2013PlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_ChangesInFairValueOfContingentConsideration" name="ChangesInFairValueOfContingentConsideration" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="pali_FairValueOfWarrantsIssuedToPlacementAgents" name="FairValueOfWarrantsIssuedToPlacementAgents" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_ClassOfWarrantOrRightIssuedDuringPeriod" name="ClassOfWarrantOrRightIssuedDuringPeriod" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="pali_CashConsideration" name="CashConsideration" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_FairValueOfWarrantsIssuedToRepresentativesOfUnderwriter" name="FairValueOfWarrantsIssuedToRepresentativesOfUnderwriter" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_NonCashWarrantModificationCosts" name="NonCashWarrantModificationCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_December2024RepresentativeWarrantsMember" name="December2024RepresentativeWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_PercentageOfReductionInWorkForce" name="PercentageOfReductionInWorkForce" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="pali_The2021PlanMember" name="The2021PlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_JointDevelopmentExpenses" name="JointDevelopmentExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="pali_December2024OfferingCommonStockWarrantsMember" name="December2024OfferingCommonStockWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_January2023OfferingMember" name="January2023OfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="pali_WarrantsIssuanceCosts" name="WarrantsIssuanceCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
</xsd:schema>
