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Significant Accounting Policies, Warrant Liability (Q3) (Details) | Nov. 01, 2021 shares
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Warrants [Member] |
Warrant Liability [Abstract] |
Warrants issued (in shares) | 22,700,000

X
- Definition Number of warrants or rights issued during the period. + References No definition available. + Details
Name: | fiac_ClassOfWarrantOrRightIssued
Namespace Prefix: | fiac_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

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

X
- Details
Name: | us-gaap_ClassOfWarrantOrRightAxis=fiac_RedeemableWarrantsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |