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  <xs:element id="pgen_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour" abstract="false" name="LesseeOperatingLeaseLiabilityToBePaidAfterYearFour" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="pgen_TransOvaMember" abstract="true" name="TransOvaMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="pgen_DisposalGroupIncludingDiscontinuedOperationReimbursementLimit" abstract="false" name="DisposalGroupIncludingDiscontinuedOperationReimbursementLimit" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="pgen_DisposalGroupIncludingDiscontinuedOperationIndemnificationLiability" abstract="false" name="DisposalGroupIncludingDiscontinuedOperationIndemnificationLiability" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="pgen_DisposalGroupIncludingDiscontinuedOperationUnderlyingClaimSettlementPayable" abstract="false" name="DisposalGroupIncludingDiscontinuedOperationUnderlyingClaimSettlementPayable" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="pgen_DisposalGroupIncludingDiscontinuedOperationRemainingLiability" abstract="false" name="DisposalGroupIncludingDiscontinuedOperationRemainingLiability" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="pgen_ReportableSegmentsMember" abstract="true" name="ReportableSegmentsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="pgen_RentAndUtilities" abstract="false" name="RentAndUtilities" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="pgen_UnrealizedFairValueOfWarrants" abstract="false" name="UnrealizedFairValueOfWarrants" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="pgen_NetIncomeLossAttributableToParentOtherSegmentAdjustedEBITDA" abstract="false" name="NetIncomeLossAttributableToParentOtherSegmentAdjustedEBITDA" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="pgen_NetIncomeLossAttributableToParentAdjustedEBITDAIncludingCashPaidForCapitalExpendituresAndInvestmentsInAffiliates" abstract="false" name="NetIncomeLossAttributableToParentAdjustedEBITDAIncludingCashPaidForCapitalExpendituresAndInvestmentsInAffiliates" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="pgen_HelenSabzevariMember" abstract="true" name="HelenSabzevariMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="pgen_HelenSabzevariJune2026PlanMember" abstract="true" name="HelenSabzevariJune2026PlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="pgen_HelenSabzevariMarch2026PlanMember" abstract="true" name="HelenSabzevariMarch2026PlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
</xs:schema>
