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Fair Value Measurements (Details) - Schedule of Earnout Share Liability	3 Months Ended
	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

X

- Definition

The amount of earnout shares liability.

+ References

No definition available.

+ Details

Name:	airj_EarnoutSharesLiability
Namespace Prefix:	airj_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Represent the amount of expensed as transaction cost of business combination.

+ References

No definition available.

+ Details

Name:	airj_ExpensedAsTransactionCostsOfBusinessCombination
Namespace Prefix:	airj_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- References

No definition available.

+ Details

Name:	airj_ScheduleOfEarnoutShareLiabilityAbstract
Namespace Prefix:	airj_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- 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

Name:	us-gaap_FairValueAdjustmentOfWarrants
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration