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    <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="ck0002108121_SimpleAgreementsForFutureEquityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Simple Agreements for Future Equity [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt, Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt, Type [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PromissoryNoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Promissory Note [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue Recognition</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_OtherIncomeExpenseNetPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other income (expense), net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_OtherIncomeExpenseNetPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Income (Expense), Net [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_OtherIncomeExpenseNetPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure of accounting policy for other income or other expense. Sources of nonoperating income or nonoperating expense that may be disclosed, include amounts earned from dividends, interest on securities, profits (losses) on securities, net and miscellaneous other income or income deductions.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SchedulesOfConcentrationOfRiskByRiskFactorTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Customers Revenue or Accounts Receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SchedulesOfConcentrationOfRiskByRiskFactorTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedules of Concentration of Risk, by Risk Factor [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfAllowanceForInventoryTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Allowance for Inventory</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfAllowanceForInventoryTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Allowance for Inventory [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfAllowanceForInventoryTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Tabular disclosure of the amounts paid for allowance for inventory.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Type [Domain]</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">Basis of Presentation and Summary of Significant Accounting Policies [Abstract]</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</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_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Significant Accounting Policies</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_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="ck0002108121_BasisOfPresentationAndSummaryOfSignificantAccountingPoliciesDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Basis of Presentation and Summary of Significant Accounting Policies (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInAccountingEstimateLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basis of Presentation and Summary of Significant Accounting Policies [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInAccountingEstimateLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Accounting Estimate [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfCustomersRevenueOrAccountsReceivableAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Customers Revenue or Accounts Receivable [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskByBenchmarkAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Benchmark [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskBenchmarkDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Benchmark [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesRevenueNetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Benchmark [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Disaggregated Revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation of Revenue [Table Text Block]</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_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_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="dei_EntityIncorporationDateOfIncorporation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity incorporation date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationDateOfIncorporation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Incorporation, Date of Incorporation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationDescriptionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Description of Business [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 Taxes [Abstract]</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_NatureOfOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Description of Business</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NatureOfOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nature of Operations [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Tax Identification Number</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="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Local Phone Number</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="dei_NoTradingSymbolFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">No Trading Symbol Flag</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12gTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title of 12(g) Security</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_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Cash_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Cash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash</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, $0.0001 par value; 510,000,000 shares authorized and 106,253,742 shares issued and outstanding as of June 30, 2026; 110,048,016 shares authorized and 13,118,276 shares issued and outstanding as of December 31, 2025.</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="ck0002108121_CondensedConsolidatedBalanceSheetsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Condensed Consolidated Balance Sheets Details [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Condensed Consolidated Balance Sheets Details [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Condensed Consolidated Balance Sheets Details [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DocumentAndEntityInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label"></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 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/label">Amendment Flag</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">City Area Code</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="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current Fiscal Year End Date</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="dei_DocumentFiscalPeriodFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Fiscal Period Focus</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="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Fiscal Year Focus</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="dei_DocumentInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Table]</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">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/label">Document Period End Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentQuarterlyReport_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Quarterly Report</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentQuarterlyReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Quarterly Report</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityExTransitionPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Ex Transition Period</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, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total long-term liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Noncurrent</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 9)</link:label>
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    <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="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid in Capital, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Transition Report</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="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="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_EntityAddressAddressLine1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Address Line One</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="dei_EntityAddressCityOrTown_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, City or Town</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="dei_EntityAddressPostalZipCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Postal Zip Code</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="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, State or Province</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="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">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/label">Entity Central Index Key</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Common Stock, Shares Outstanding</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="dei_EntityCurrentReportingStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Current Reporting Status</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="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Emerging Growth Company</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="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity File Number</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="dei_EntityFilerCategory_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Filer Category</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="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Incorporation, State or Country Code</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="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Interactive Data Current</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="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">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/label">Entity Registrant Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Shell Company</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_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Small Business</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_SettlementLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Settlement credit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SettlementLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Settlement Liabilities, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SimpleAgreementForFutureEquityLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SAFE liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SimpleAgreementForFutureEquityLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Simple Agreement for Future Equity Liability Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SimpleAgreementForFutureEquityLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of simple agreement for future equity liability noncurrent.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts receivable, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Accounts receivable, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable, after Allowance for Credit Loss, Current, Total</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/verboseLabel">Current assets</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_InventoryNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inventory, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Net, Total</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_InventoryNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inventory, non-current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Inventory, non-current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Noncurrent, 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/terseLabel">Property 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/totalLabel">Property 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/label">Property, Plant, and Equipment, after Accumulated Depreciation, Depletion, and Amortization, Total</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">Leases right-of-use assets</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 assets</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_OtherAssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other non-current 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_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_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_AccountsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesAndOtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses and other current liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesAndOtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesAndOtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities and Other Liabilities</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/terseLabel">Short-term operating lease liabilities</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/verboseLabel">Total lease liabilities current</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>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Gain on extinguishment of make-whole derivative liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Extinguishment of Debt, Total</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="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Aggregate Fair Value of Financial Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets 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_InventoryNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Inventory [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Fair Value Financial Liabilities on a Recurring Basis</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Liabilities Measured on Recurring Basis [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryRawMaterials_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sub-assemblies, components, and raw materials</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryRawMaterials_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Raw Materials, Gross</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/verboseLabel">Stockholders&#8217; Equity (Deficit) [Line Items]</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/disclosureGuidance">Schedule of Stock Option Activity [Line Items]</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/terseLabel">Schedule of Reserved Shares of Common Stock for Future Issuance [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Schedule of Stock Based Compensation [Line Items]</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="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock 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/verboseLabel">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/label">Preferred Stock, Shares Authorized</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">Components of cash and restricted cash</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Restricted cash in prepaid expenses and other current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash and Cash Equivalent, Current</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 value</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_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">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/label">Preferred Stock, Shares Issued</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</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_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total cash and restricted cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Cash and restricted cash, beginning of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash and restricted cash, end of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted cash, non-current in other non-current assets</link:label>
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    <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>
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    <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>
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    <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>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash investing and financing activities:</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of Legacy Ionetix redeemable convertible preferred stock into common stock upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Of Legacy Ionetix Redeemable Convertible Preferred Stock Into Common Stock Upon The Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of conversion of legacy Ionetix redeemable convertible preferred stock into common stock upon the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock warrants in settlement of a contingent equity arrangement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Common Stock Warrants In Settlement Of A Contingent Equity Arrangement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of common stock warrants in settlement of a contingent equity arrangement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance">Conversion of stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Stock, Shares Converted</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_CostsAndExpenses_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_CostsAndExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Costs and 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/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="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from issuance of common stock in connection with the Merger and private placement offering, net of paid transaction cost</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/label">Proceeds from Issuance of Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenues, Total</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>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation [Abstract]</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">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOfferingNetOfPaidTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from issuance of common stock in connection with the subsequent private placement offering, net of paid transaction cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOfferingNetOfPaidTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Common Stock in Connection With the Subsequent Private Placement Offering, Net of Paid Transaction Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOfferingNetOfPaidTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of proceeds from issuance of common stock in connection with the subsequent private placement offering, net of paid transaction cost.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromIssuanceOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from issuance of SAFEs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromIssuanceOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Safes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromIssuanceOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of proceeds from issuance of safes.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Fair Value Adjustment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromRelatedPartyAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from related party advances</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromRelatedPartyAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Related Party Advances</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromRelatedPartyAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of proceeds from related party advances.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from exercise of stock options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Stock Options Exercised</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 exercise of common stock 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_RepaymentsOfRelatedPartyDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayment of related party advances</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfRelatedPartyDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Related Party Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOnTermLoan_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayment on 2023 Term Loan</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOnTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment on Term Loan</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOnTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of repayment on term loan.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders&#8217; Equity (Deficit) [Abstract]</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/verboseLabel">Stockholders&#8217; Equity (Deficit)</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_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="ck0002108121_TerminationAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Termination Agreement [Member]</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 (expense), net</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_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="us-gaap_ShareBasedCompensation_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_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_AmortizationOfFinancingCostsAndDiscounts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of debt discount and issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfFinancingCostsAndDiscounts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Debt Issuance Costs and Discounts, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForOtherCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for credit losses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForOtherCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Provision for Other Credit Losses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, New Issues</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>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Income (Loss), Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of common stock warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Exercise of Common Stock Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of stock issued during period value exercise of common stock warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Repayment of an investor advance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment Of An Investor Advance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of repayment of an investor advance.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfFinancingAgreements_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Repayment of financing agreements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfFinancingAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment of financing agreements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfFinancingAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of repayment of financing agreements.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from an investor advance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From An Investor Advance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of proceeds from an investor advance.</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">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity, Increase (Decrease) in Operating Capital [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Line Items]</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/totalLabel">Total stockholders&#8217; equity (deficit)</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_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">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation</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_InventoryValuationReserves_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Less: allowance for inventory obsolescence</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryValuationReserves_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_InventoryValuationReserves_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_InventoryValuationReserves_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory Valuation Reserves</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Table]</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="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_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Events</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Text Block]</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_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="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net increase (decrease) in cash and restricted cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Excluding Exchange Rate Effect, Including Discontinued Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryWorkInProcess_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Work-in-process</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryWorkInProcess_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Work in Process, Gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Inventory, non-current, gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Gross, Total</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</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LegacyIonetixSSeriesFRedeemableConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy Ionetix&#8217;S Series F Redeemable Convertible Preferred Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible preferred stock, shares outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Shares outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Shares Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnNonCashInvestorAgreementSettlementExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss on non-cash investor agreement settlement expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnNonCashInvestorAgreementSettlementExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss on Non-Cash Investor Agreement Settlement Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnNonCashInvestorAgreementSettlementExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of loss on non-cash investor agreement settlement expense.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonCashLossOnIssuanceOfSAFEsAndCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash loss on issuance of SAFEs and common stock warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonCashLossOnIssuanceOfSAFEsAndCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non-Cash Loss on Issuance of SAFEs and Common Stock Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonCashLossOnIssuanceOfSAFEsAndCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of non-cash loss on issuance of SAFEs and common stock warrants.</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="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the Merger and private placement offering (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Issuance of Common Stock In Connection with the Merger and Private Placement Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of issuance of common stock in connection with the merger and private placement offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionForInventoryReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for inventory reserve</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionForInventoryReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Provision for Inventory Reserve</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionForInventoryReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of provision for inventory reserve.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssuedPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares price per shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssuedPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Issued, Price Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the subsequent private placement offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Issuance of Common Stock in Connection with the Subsequent Private Placement Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of issuance of common stock in connection with the subsequent private placement offering.</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="ck0002108121_ChangeInFairValueOfSAFELiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of SAFE liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfSAFELiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Fair Value of SAFE Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfSAFELiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of change in fair value of safe liability.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the subsequent private placement offering (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Issuance of Common Stock in Connection with the Subsequent Private Placement Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of issuance of common stock in connection with the subsequent private placement offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfMakeWholeDerivativeLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of make-whole derivative liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfMakeWholeDerivativeLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Fair Value of Make-Whole Derivative Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfMakeWholeDerivativeLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of change in fair value of make-whole derivative liabilities.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyThreeNotesAndTwoThousandTwentyFourNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023 Notes and 2024 Note [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyThreeNotesAndTwoThousandTwentyFourNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty Three Notes and Two Thousand Twenty Four Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to JDEV shareholders in connection with the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Issuance of Common Stock to JDEV Shareholders in Connection with the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of Issuance of common stock to JDEV shareholders in connection with the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDebtExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDebtExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest and Debt Expense, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to JDEV shareholders in connection with the Merger (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Issuance of Common Stock to JDEV Shareholders in Connection with the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of Issuance of common stock to JDEV shareholders in connection with the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the Termination Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Issuance of Common Stock in Connection with the Termination Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of Issuance of common stock in connection with the Termination Agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of common stock warrants (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Exercise of Common Stock Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of stock issued during period shares exercise of common stock warrants.</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</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, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of Legacy Ionetix redeemable convertible preferred stock into common stock upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Conversion of Legacy Ionetix Redeemable Convertible Preferred Stock into Common Stock upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of conversion of legacy ionetix redeemable convertible preferred stock into common stock upon the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of Legacy Ionetix redeemable convertible preferred stock into common stock upon the Merger (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Conversion Of Legacy Ionetix Redeemable Convertible Preferred Stock Into Common Stock Upon The Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of Conversion of Legacy Ionetix redeemable convertible preferred stock into common stock upon the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Loss before provision for income taxes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest, Total</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/verboseLabel">Provision for income taxes</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_ShortTermBorrowings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Short-term debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermBorrowings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes [Abstract]</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/terseLabel">Convertible Notes</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="us-gaap_FairValueOptionChangesInFairValueGainLoss1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value loss amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueOptionChangesInFairValueGainLoss1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Option, Changes in Fair Value, Gain (Loss)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_MarchOneTwentyTwentySevenMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">March 1, 2027 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_MarchOneTwentyTwentySevenMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">March One Twenty Twenty Seven [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_MarchTwelveTwentyTwentySevenMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">March 12, 2027 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_MarchTwelveTwentyTwentySevenMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">March Twelve Twenty Twenty Seven [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_WarrantCoverageSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant coverage shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_WarrantCoverageSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Coverage Shares Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_WarrantCoverageSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of warrant coverage shares issued.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AprilTwentyFourTwentyTwentySixMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">April 24, 2026 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AprilTwentyFourTwentyTwentySixMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">April Twenty Four Twenty Twenty Six [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Maturity Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockConvertibleConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion price per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockConvertibleConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Convertible, Conversion Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfRedeemableConvertiblePreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds redeemable convertible preferred stock amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfRedeemableConvertiblePreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Carrying value of the redeemable convertible preferred stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfRedeemableConvertiblePreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Redeemable Convertible Preferred Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_EquityFinancingEventDiscountPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity financing event discount percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_EquityFinancingEventDiscountPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Financing Event Discount Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_EquityFinancingEventDiscountPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of equity financing event discount.</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 Option [Member]</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</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</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, Beginning Balance</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">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/periodEndLabel">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/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price, Beginning Balance</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">Weighted average remaining contractual life (years)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Weighted average remaining contractual life (years)</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="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">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/periodEndLabel">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="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options granted, Number of options</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_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options granted, Weighted average exercise price</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_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Options exercised, Number of options</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">Exercise of stock options (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_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options exercised, 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/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_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options exercised, Aggregate intrinsic value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period, Intrinsic Value</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">Options cancelled, Number of options</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_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options cancelled, Weighted average exercise price</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_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Vested and expected to vest, Number of options</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="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Vested and expected to vest, Weighted average exercise price</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="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">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="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vested and expected to vest, Weighted average remaining contractual life (years)</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="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Exercisable, Number of options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableNumber_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, Exercisable, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Exercisable, Weighted average exercise price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageExercisePrice_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, Exercisable, Weighted Average Exercise Price</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_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Exercise price per share</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">Exercise price of 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/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_LeaseCostAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Lease Costs for Operating Leases [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable lease cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Lease, Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average remaining lease term (years)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Weighted Average Remaining Lease Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_GainOnChangeInFairValueOfPreferredStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain on change in fair value of preferred stock warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_GainOnChangeInFairValueOfPreferredStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Gain on change in fair value of preferred stock warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TechnologyEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Specialized technical equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TechnologyEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Technology Equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Derivative liability.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_FairValueOptionChangesInFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in fair value recognized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_FairValueOptionChangesInFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">FairValue Option Changes In Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_FairValueOptionChangesInFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Changes in fair value recognized.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermBorrowingsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Short-Term Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShortTermDebtTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PayablesAndAccrualsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Accrued Expenses and Other Current Liabilities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule for Property and Equipment, Net [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments for rent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for Rent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedEmployeeBenefitsCurrent_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_AccruedEmployeeBenefitsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Employee Benefits, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CustomerDepositCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Customer deposits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CustomerDepositCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer Deposit Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CustomerDepositCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of customer deposits.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other accrued expenses and other current liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Accounts Payable and Accrued Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockAmountConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate carrying value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockAmountConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Stock, Amount Converted</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">Warrant purchase shares</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">Shares of warrants</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/disclosureGuidance">Warrant purchase shares</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="ck0002108121_LegacyLonetixCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy Lonetix Common Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total fair value of options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested in Period, Fair Value</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 authorized</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>
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    <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>
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    <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 Attributable to Common Stockholders</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>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Earnings Per Share, Basic and Diluted [Table Text Block]</link:label>
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    <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_ConcentrationRiskLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskPercentage1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk, Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestExpenseOfferingCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Offerings cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestExpenseOfferingCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Offering Cost, Expense</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtIssuanceCostsIncurredDuringNoncashOrPartialNoncashTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Issuance Costs Incurred During Noncash or Partial Noncash Transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CustomerConcentrationRiskMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer Concentration Risk [Member]</link:label>
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    <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>
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    <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>
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    <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>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransactionCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transaction Costs [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransactionCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure of accounting policy for transaction costs.</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">Significant Customers</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="us-gaap_TradeAndOtherAccountsReceivablePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts Receivable, Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TradeAndOtherAccountsReceivablePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable [Policy Text Block]</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">Accumulated deficit</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NetProceedsFromSubsequentClosingOfPrivatePlacementFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The net proceeds from subsequent closing of private placement financing.</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>
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    <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 liabilities, non-current</link:label>
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    <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, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentStateAndLocalTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current state income tax</link:label>
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    <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, redeemable convertible preferred stock and stockholders&#8217; equity (deficit)</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_JDEVAcquisitionCorpMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">JDEV Acquisition Corp [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible preferred stock, par value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Original issue price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Par or Stated Value Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible preferred stock, shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Shares Issued</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&#8217; equity (deficit)</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_DepreciationDepletionAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation and amortization</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationDepletionAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation, Depletion and Amortization, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Selling, general and administrative</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Selling, General and Administrative Expense, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of operating right-of-use assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Right-of-Use Asset, Periodic Reduction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnsecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unsecured aggregate principal amounts</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnsecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Unsecured debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnsecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unsecured Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyThreeNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023 Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyThreeNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand twenty Three Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyFourNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024 Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyFourNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand twenty Four Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the Merger and private placement offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Issuance of Common Stock In Connection with the Merger and Private Placement Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of issuance of common stock in connection with the Merger and private placement offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedArrangementsToObtainGoodsAndServicesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Disclosure [Abstract]</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">Total</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="us-gaap_FairValueDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SharesAvailableForFutureIssuanceUnderThe2026EquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares available for future issuance under the 2026 Equity Incentive Plan [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_Rule10b51ArrangementModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Rule 10b5-1 Arrangement Modified [Flag]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_Rule10b51ArrangementModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Rule 10b5-1 arrangement modified.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonRule10b51ArrangementModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non-Rule 10b5-1 Arrangement Modified [Flag]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonRule10b51ArrangementModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non-rule 10b5-1 arrangement modified.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromFinancingAgreementsNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from financing agreements, net of issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromFinancingAgreementsNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Financing Agreements, Net Of Issuance Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromFinancingAgreementsNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of proceeds from financing agreements, net of issuance costs.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfNotesPayable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayment on promissory notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Notes Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible preferred stock, shares authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Shares authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Shares Authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PrivatePlacementOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Private Placement Offering [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the Termination Agreement (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Issuance of Common Stock in Connection with the Termination Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of Issuance of common stock in connection with the Termination Agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock warrants in settlement of a contingent equity arrangement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Issuance of Common Stock Warrants In Settlement of a Contingent Equity Arrangement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of Issuance of common stock warrants in settlement of a contingent equity arrangement.</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">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation</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">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpense_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_ResearchAndDevelopmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of SAFEs to Series F redeemable convertible preferred stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Conversion of Convertible Securities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of SAFEs to Series F redeemable convertible preferred stock (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Conversion of Convertible Securities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of stock options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Stock Options Exercised</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnAbandonedFinancingTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss on abandoned financing transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnAbandonedFinancingTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss on Abandoned Financing Transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnAbandonedFinancingTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of loss on abandoned financing transaction.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoncashIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoncashIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Noncash Income (Expense), Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accounts receivable, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInNotesReceivableCurrent_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loan receivable, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInNotesReceivableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Notes Receivable, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInInventories_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Inventory, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInInventories_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Inventories, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidExpensesOther_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Prepaid expenses and other assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidExpensesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Prepaid Expenses, Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Payable, Total</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="us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of derivative liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Assets (Liabilities), at Fair Value, Net, Total</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/label">Payments to Acquire Property, Plant, and Equipment, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_MakeWholeDerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Make-whole derivative liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_MakeWholeDerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Make-Whole Derivative Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_MakeWholeDerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of make-whole derivative liability.</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</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_AdditionalPaidInCapitalMember_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="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_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash paid for interest</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 Activity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseNonoperatingNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest income (expense), net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseNonoperatingNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Income (Expense), Nonoperating</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost of Revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses and other liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Other Accounts Payable and Accrued Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash paid for income taxes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Paid, before Refund Received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from promissory notes, net of issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from operating activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation [Abstract]</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_SignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basis of Presentation and 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_NoncashInvestingAndFinancingItemsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental cash flow disclosure:</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="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="us-gaap_ScheduleOfStockholdersEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Reserved Shares of Common Stock for Future Issuance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockholdersEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Stockholders Equity [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPreferredStockUponConversionOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of preferred stock upon conversion of SAFEs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPreferredStockUponConversionOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Preferred Stock Upon Conversion Of Safes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPreferredStockUponConversionOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of preferred stock upon conversion of SAFEs.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuancePfCommonStockWarrantsInConnectionWithIssuanceOfSafesAndPromissoryNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock warrants in connection with issuance of SAFEs and promissory notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuancePfCommonStockWarrantsInConnectionWithIssuanceOfSafesAndPromissoryNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance pf Common Stock Warrants in Connection With Issuance of Safes and Promissory Notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuancePfCommonStockWarrantsInConnectionWithIssuanceOfSafesAndPromissoryNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of common stock warrants in connection with issuance of SAFEs and promissory notes.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPlacementAgentWarrantsInConnectionWithThePrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of placement agent warrants in connection with the private placement offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPlacementAgentWarrantsInConnectionWithThePrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Placement Agent Warrants in Connection With the Private Placement Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPlacementAgentWarrantsInConnectionWithThePrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of placement agent warrants in connection with the private placement offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Dividends_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Dividends_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockInConnectionWithTheTerminationAgreementa_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the Termination Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockInConnectionWithTheTerminationAgreementa_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Common Stock In Connection With The Termination Agreementa</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockInConnectionWithTheTerminationAgreementa_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of common stock in connection with the termination agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfRelatedPartyAdvanceIntoPromissoryNote_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of related party advance into promissory note</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfRelatedPartyAdvanceIntoPromissoryNote_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Of Related Party Advance Into Promissory Note</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfRelatedPartyAdvanceIntoPromissoryNote_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of conversion of related party advance into promissory note.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransactionCostsIncurredButUnpaidAtPeriodEnd_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transaction costs incurred but unpaid at period-end</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransactionCostsIncurredButUnpaidAtPeriodEnd_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transaction Costs Incurred But Unpaid at Period-End</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransactionCostsIncurredButUnpaidAtPeriodEnd_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of transaction costs incurred but unpaid at period-end.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfLegacyIonetixPreferredStockWarrantsIntoTheCompanysCommonStockWarrantsUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of Legacy Ionetix Preferred Stock Warrants into the Company&#8217;s Common Stock Warrants upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfLegacyIonetixPreferredStockWarrantsIntoTheCompanysCommonStockWarrantsUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Legacy Ionetix Preferred Stock Warrants into the Company&#8217;s Common Stock Warrants upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfLegacyIonetixPreferredStockWarrantsIntoTheCompanysCommonStockWarrantsUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of conversion of legacy ionetix preferred stock warrants into the company&#8217;s common stock warrants upon the merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PropertyAndEquipmentIncludedInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and equipment included in accounts payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PropertyAndEquipmentIncludedInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property and Equipment Included in Accounts Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PropertyAndEquipmentIncludedInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of p
roperty and equipment included in accounts payable.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransferOfInventoryToPropertyAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transfer of inventory to property and equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransferOfInventoryToPropertyAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transfer Of Inventory To Property And Equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransferOfInventoryToPropertyAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of transfer of inventory to property and equipment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to JDEV shareholders in connection with the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of common stock to JDEV shareholders in connection with the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of common stock to JDEV shareholders in connection with the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AssetRetirementObligationsIncurredAndCapitalized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset retirement obligations incurred and capitalized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AssetRetirementObligationsIncurredAndCapitalized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligations Incurred and Capitalized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AssetRetirementObligationsIncurredAndCapitalized_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of asset retirement obligations incurred and capitalized.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangesInFairValueOfTheEmbeddedConversionFeatur_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Changes in fair value of the embedded conversion featur</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangesInFairValueOfTheEmbeddedConversionFeatur_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Changes in fair value of the embedded conversion featur.</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">Shares sold</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="ck0002108121_OutstandingCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Outstanding common stock warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_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_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity, Noncash Item [Abstract]</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">Accumulated Deficit</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_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Measurement</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="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfPlacementAgentWarrantsEquityComponent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of placement agent warrants (equity component)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfPlacementAgentWarrantsEquityComponent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Issuance of Placement Agent Warrants (Equity Component)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfPlacementAgentWarrantsEquityComponent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of Issuance of placement agent warrants (equity component).</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalWarrantIssued_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Issuance costs &#8211; placement agent warrants (non-cash)</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="ck0002108121_AdjustmentsToAdditionalPaidInConversionOfLegacyIonetixPreferredStockWarrantsIntoTheCompanysCommonStockWarrantsUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of Legacy Ionetix Preferred Stock Warrants into the Company&#8217;s Common Stock Warrants upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInConversionOfLegacyIonetixPreferredStockWarrantsIntoTheCompanysCommonStockWarrantsUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Conversion of Legacy Ionetix Preferred Stock Warrants into the Company&#8217;s Common Stock Warrants upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInConversionOfLegacyIonetixPreferredStockWarrantsIntoTheCompanysCommonStockWarrantsUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of Conversion of Legacy Ionetix Preferred Stock Warrants into the Company&#8217;s Common Stock Warrants upon the Merger.</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">Change in fair value of warrant liability</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/disclosureGuidance">Fair value</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_DebtInstrumentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Long-Term Debt Instruments [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongtermDebtTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongtermDebtTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Type [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConvertiblePromissoryNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Promissory Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Convertible Notes [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfTheMakeWholeDerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of the make-whole derivative liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfTheMakeWholeDerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">change in fair value of the make-whole derivative liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfTheMakeWholeDerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">It represents amount of change in fair value of the make-whole derivative liability.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockWithMergerAndPrivatePlacementOfferingTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of common stock with merger and private placement offering transaction cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockWithMergerAndPrivatePlacementOfferingTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents issuance of common stock with merger and private placement offering transaction cost.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOfferingNetOfTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of common stock in connection with subsequent private placement offering, net of transaction cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOfferingNetOfTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of issuance of common stock in connection with subsequent private placement offering, net of transaction cost.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant, and Equipment [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Asset, Class [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Asset, Class [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Production and laboratory equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComputerEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Computer equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComputerEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Computer Equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseholdImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leasehold improvements [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseholdImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leasehold Improvements [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SoftwarePurchasedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Computer software [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SoftwarePurchasedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Software, Purchased [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Property Plant and Equipment, Net [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant, and Equipment [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionInProgressMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction in progress [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionInProgressMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction in Progress [Member]</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">Issuances</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="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total property and equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant, and Equipment, before Accumulated Depreciation, Depletion, and Amortization, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilitySettlements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Settlements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Less accumulated depreciation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant, and Equipment, Accumulated Depreciation, Depletion, and Amortization</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance as of June 30, 2026</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance as of December 31, 2025</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total liabilities at fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Fair Value Disclosure, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StatementOfIncomeBalanceDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Income, Balance [Domain]</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/verboseLabel">Total stock-based compensation</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="ck0002108121_CostOfRevenueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost of revenue [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ResearchAndDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and development [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SellingGeneralAndAdministrativeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Selling, general and administrative [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Option Plan [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total operating lease liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-term liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfDebtDiscountPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of debt discount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfDebtDiscountPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Debt Discount (Premium)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_WarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsReceivedRecognizedUpfrontLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds received upfront loss amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsReceivedRecognizedUpfrontLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds Received Recognized Upfront Loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsReceivedRecognizedUpfrontLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of proceeds received recognized upfront loss.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AwardDateAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award Date [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AwardDateDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award Date [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Exercisable, Aggregate intrinsic value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableAggregateIntrinsicValue_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, Exercisable, Aggregate Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfAllowanceForInventoryAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Allowance for Inventory [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfFairValueFinancialLiabilitiesOnARecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Fair Value Financial Liabilities on a Recurring Basis [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 1 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 2 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 3 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 3 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionChargedToCostOfRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Provision Charged to Cost of Revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionChargedToCostOfRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of provision charged to cost of revenue.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByMeasurementFrequencyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementFrequencyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InstallationDeposit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Installation deposit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InstallationDeposit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Installation Deposit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InstallationDeposit_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of installation deposit.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inventory deposits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory Deposits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of inventory deposits.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfAggregateFairValueOfFinancialLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Aggregate Fair Value of Financial Liabilities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfAggregateFairValueOfFinancialLiabilitiesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Aggregate Fair Value of Financial Liabilities [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation of Revenue [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation of Revenue [Table]</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="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="ck0002108121_PrepaidSoftwareSubscriptions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Software Subscriptions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PrepaidSoftwareSubscriptions_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of prepaid software subscriptions.</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">Other prepaid expenses and other current assets</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_PrepaidExpenseCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expense, Current, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Disaggregated Revenue [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation of Revenue [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SAFELiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SAFE Liability [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_WarrantLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Liability [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DiagnosticDrugAndMedicalRadioisotopesSalesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Diagnostic drug and medical radioisotopes sales [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DerivativeLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Liability [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CyclotronSystemSalesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cyclotron system sales [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConsultingServicesAndSystemSupportServicesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consulting services and system support services [Member]</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="ck0002108121_PrincipalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PrincipalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Principal Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PrincipalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of principal amount.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Bear interest rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate During Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCostTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Lease Costs for Operating Leases</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCostTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease, Cost [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InvestorsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investors [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Redeemable Convertible Preferred Stock [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Line Items]</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">Stock Option Plan</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="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Stock Option Activity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableTableTextBlock_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, Exercisable [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Share Based Arrangement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Activity [Table 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 Inputs</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>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities arising from obtaining new operating lease ROU assets during the period</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableGrossCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross accounts receivable</link:label>
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