XML 88 R50.htm IDEA: XBRL DOCUMENT
v3.24.0.1

Related Party Transactions, Founder Shares (Q3) (Details) |  |  | 9 Months Ended | 10 Months Ended | 12 Months Ended
--- | --- | --- | --- | --- | ---
Sep. 12, 2023 $ / shares | Mar. 15, 2021 USD ($) shares | Sep. 30, 2023 USD ($) $ / shares shares | Dec. 31, 2021 USD ($) | Dec. 31, 2022 USD ($) $ / shares
Founder Shares [Abstract] |  |  |  |  |
Proceeds from issuance of ordinary share | $ |  |  |  | $ 25,000 | $ 0
Stock conversion basis at time of business combination |  |  | 1 |  | 1
Founder Shares [Member] | Class A Common Stock [Member] | Minimum [Member] |  |  |  |  |
Founder Shares [Abstract] |  |  |  |  |
Period after initial Business Combination |  |  | 150 days |  | 150 days
Sponsor [Member] |  |  |  |  |
Founder Shares [Abstract] |  |  |  |  |
Stock conversion basis at time of business combination | 1 |  |  |  |
Holding period for transfer, assignment or sale of founder shares |  |  | 360 days |  |
Threshold trading days |  |  | 20 days |  |
Threshold consecutive trading days |  |  | 30 days |  |
Period after initial Business Combination |  |  | 150 days |  |
Sponsor [Member] | Minimum [Member] |  |  |  |  |
Founder Shares [Abstract] |  |  |  |  |
Share price (in dollars per share) | $ / shares | $ 12 |  |  |  |
Sponsor [Member] | Founder Shares [Member] | Class A Common Stock [Member] |  |  |  |  |
Founder Shares [Abstract] |  |  |  |  |
Threshold trading days |  |  | 20 days |  | 20 days
Threshold consecutive trading days |  |  | 30 days |  | 30 days
Sponsor [Member] | Founder Shares [Member] | Class A Common Stock [Member] | Minimum [Member] |  |  |  |  |
Founder Shares [Abstract] |  |  |  |  |
Share price (in dollars per share) | $ / shares |  |  | $ 12 |  | $ 12
Sponsor [Member] | Founder Shares [Member] | Class B Common Stock [Member] |  |  |  |  |
Founder Shares [Abstract] |  |  |  |  |
Proceeds from issuance of ordinary share | $ |  | $ 25,000 | $ 25,000 |  |
Shares issued (in shares) | shares |  | 7,187,500 | 5,750,000 |  |
Stock conversion basis at time of business combination |  |  | 1 |  | 1
Holding period for transfer, assignment or sale of founder shares |  |  | 1 year |  | 1 year

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

X
- Definition Period of time after the completion of initial Business Combination in which initial shareholders are not permitted to transfer, assign or sell any of their held Founder Shares, in PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References No definition available. + Details
Name: | fiac_HoldingPeriodForTransferAssignmentOrSaleOfFounderShares
Namespace Prefix: | fiac_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Period after the initial Business Combination for the common stock price to exceed the threshold price per share, in PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References No definition available. + Details
Name: | fiac_PeriodAfterInitialBusinessCombination
Namespace Prefix: | fiac_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Ratio applied to the conversion of stock, for example but not limited to, one share converted to two or two shares converted to one. + References No definition available. + Details
Name: | fiac_StockConversionRatio
Namespace Prefix: | fiac_
Data Type: | xbrli:pureItemType
Balance Type: | na
Period Type: | duration

X
- Definition Threshold period of specified consecutive trading days that common stock price must exceed threshold price for specified number of trading days, in PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References No definition available. + Details
Name: | fiac_ThresholdConsecutiveTradingDays
Namespace Prefix: | fiac_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Threshold number of specified trading days that common stock price must exceed threshold price within a specified consecutive trading period, in PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References No definition available. + Details
Name: | fiac_ThresholdTradingDays
Namespace Prefix: | fiac_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition The cash inflow from the additional capital contribution to the entity. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 45 -Paragraph 14 -Subparagraph (a) -SubTopic 10 -Topic 230 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482740/230-10-45-14 + Details
Name: | us-gaap_ProceedsFromIssuanceOfCommonStock
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Price of a single share of a number of saleable stocks of a company. + References No definition available. + Details
Name: | us-gaap_SharePrice
Namespace Prefix: | us-gaap_
Data Type: | dtr-types:perShareItemType
Balance Type: | na
Period Type: | instant

X
- Definition Number of shares issued in lieu of cash for services contributed to the entity. Number of shares includes, but is not limited to, shares issued for services contributed by vendors and founders. + References No definition available. + Details
Name: | us-gaap_StockIssuedDuringPeriodSharesIssuedForServices
Namespace Prefix: | us-gaap_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

X
- Details
Name: | us-gaap_RelatedPartyTransactionAxis=fiac_FounderSharesMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_StatementClassOfStockAxis=us-gaap_CommonClassAMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | srt_RangeAxis=srt_MinimumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=us-gaap_InvestorMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_StatementClassOfStockAxis=us-gaap_CommonClassBMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |