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

Number of warrants or rights issued during the period.

No definition available.

Name:	fiac_ClassOfWarrantOrRightIssued
Namespace Prefix:	fiac_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration