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Fair Value Measurements (Details) - Schedule of Earnout Share Liability | 3 Months Ended
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Mar. 31, 2024 USD ($)
Schedule of Earnout Share Liability [Abstract] |
Earnout Shares Liability |
Expensed as transaction costs of business combination | 53,721,000
Change in fair value | 7,672,000
Balance | $ 61,393,000

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- Definition The amount of earnout shares liability. + References No definition available. + Details
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Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Represent the amount of expensed as transaction cost of business combination. + References No definition available. + Details
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Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- References No definition available. + Details
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Namespace Prefix: | airj_
Data Type: | xbrli:stringItemType
Balance Type: | na
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- Definition Amount of expense (income) related to adjustment to fair value of warrant liability. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 45 -Paragraph 28 -Subparagraph (b) -SubTopic 10 -Topic 230 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482740/230-10-45-28 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 25 -Paragraph 13 -SubTopic 10 -Topic 480 -Publisher FASB -URI https://asc.fasb.org/1943274/2147481766/480-10-25-13 + Details
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