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Commitments and Contingencies - Schedule of liability recorded related to severance and exit costs (Details) - USD ($) $ in Thousands | 3 Months Ended
--- | ---
Sep. 30, 2023 | Jun. 30, 2023 | Mar. 31, 2023
Commitments and Contingencies Disclosure [Abstract] |  |  |
Opening Balance | $ 407 | $ 113 | $ 0
Accrued to expense | (22) | 365 | 205
Payments | (385) | (71) | (92)
Closing Balance | $ 0 | $ 407 | $ 113

X
- Definition Accrued expense of severanc costs + References No definition available. + Details
Name: | airg_AccruedExpenseOfSeverancCosts
Namespace Prefix: | airg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Payment of severance costs + References No definition available. + Details
Name: | airg_PaymentOfSeveranceCosts
Namespace Prefix: | airg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Severance and Exit Costs 1 + References No definition available. + Details
Name: | airg_SeveranceAndExitCosts1
Namespace Prefix: | airg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- References No definition available. + Details
Name: | us-gaap_CommitmentsAndContingenciesDisclosureAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration