XML 92 R54.htm IDEA: XBRL DOCUMENT
v3.24.0.1

Recurring Fair Value Measurements, Assets and Liabilities Measured at Fair Value on Recurring Basis (Q3) (Details) - USD ($) | Sep. 30, 2023 | May 09, 2023 | Dec. 31, 2022 | Dec. 31, 2021
--- | --- | --- | --- | ---
Liabilities [Abstract] |  |  |  |
Warrant liability | $ 1,816,000 |  | $ 1,135,000 | $ 11,804,000
Recurring [Member] | Level 1 [Member] |  |  |  |
Assets [Abstract] |  |  |  |
Investments held in Trust Account | 61,539,627 |  | 237,038,010 | 234,603,156
Recurring [Member] | Level 1 [Member] | Public Warrants [Member] |  |  |  |
Liabilities [Abstract] |  |  |  |
Warrant liability | 920,000 |  | 575,000 | 5,980,000
Recurring [Member] | Level 1 [Member] | Private Warrants [Member] |  |  |  |
Liabilities [Abstract] |  |  |  |
Warrant liability | 0 |  | 0 | 0
Recurring [Member] | Level 1 [Member] | Working Capital Loan Conversion Option [Member] |  |  |  |
Liabilities [Abstract] |  |  |  |
Warrant liability | 0 |  |  |
Recurring [Member] | Level 2 [Member] |  |  |  |
Assets [Abstract] |  |  |  |
Investments held in Trust Account | 0 |  | 0 | 0
Recurring [Member] | Level 2 [Member] | Public Warrants [Member] |  |  |  |
Liabilities [Abstract] |  |  |  |
Warrant liability | 0 |  | 0 | 0
Recurring [Member] | Level 2 [Member] | Private Warrants [Member] |  |  |  |
Liabilities [Abstract] |  |  |  |
Warrant liability | 0 |  | 0 | 0
Recurring [Member] | Level 2 [Member] | Working Capital Loan Conversion Option [Member] |  |  |  |
Liabilities [Abstract] |  |  |  |
Warrant liability | 0 |  |  |
Recurring [Member] | Level 3 [Member] |  |  |  |
Assets [Abstract] |  |  |  |
Investments held in Trust Account | 0 |  | 0 | 0
Recurring [Member] | Level 3 [Member] | Public Warrants [Member] |  |  |  |
Liabilities [Abstract] |  |  |  |
Warrant liability | 0 |  | 0 | 0
Recurring [Member] | Level 3 [Member] | Private Warrants [Member] |  |  |  |
Liabilities [Abstract] |  |  |  |
Warrant liability | 896,000 |  | $ 560,000 | $ 5,824,000
Recurring [Member] | Level 3 [Member] | Working Capital Loan Conversion Option [Member] |  |  |  |
Liabilities [Abstract] |  |  |  |
Warrant liability | 0 |  |  |
Promissory Note [Member] | Maximum [Member] |  |  |  |
Promissory Note [Abstract] |  |  |  |
Principal amount | $ 1,500,000 | $ 1,500,000 |  |

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

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

X
- Definition Face (par) amount of debt instrument at time of issuance. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 835 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482900/835-30-50-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 470 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1B -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org//1943274/2147481139/470-20-50-1B Reference 3: http://www.xbrl.org/2003/role/exampleRef -Topic 470 -SubTopic 20 -Name Accounting Standards Codification -Section 55 -Paragraph 69B -Publisher FASB -URI https://asc.fasb.org//1943274/2147481568/470-20-55-69B Reference 4: http://www.xbrl.org/2003/role/exampleRef -Topic 470 -SubTopic 20 -Name Accounting Standards Codification -Section 55 -Paragraph 69C -Publisher FASB -URI https://asc.fasb.org//1943274/2147481568/470-20-55-69C Reference 5: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 835 -SubTopic 30 -Section 45 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482925/835-30-45-2 Reference 6: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 835 -SubTopic 30 -Section 55 -Paragraph 8 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482949/835-30-55-8 + Details
Name: | us-gaap_DebtInstrumentFaceAmount
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Fair value, after the effects of master netting arrangements, of a financial liability or contract with one or more underlyings, notional amount or payment provision or both, and the contract can be net settled by means outside the contract or delivery of an asset, expected to be settled after one year or the normal operating cycle, if longer. Includes assets not subject to a master netting arrangement and not elected to be offset. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 210 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 3 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org//1943274/2147483466/210-20-50-3 + Details
Name: | us-gaap_DerivativeLiabilitiesNoncurrent
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Fair value portion of investment securities, including, but not limited to, marketable securities, derivative financial instruments, and investments accounted for under the equity method. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482106/820-10-50-2 + Details
Name: | us-gaap_InvestmentsFairValueDisclosure
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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

X
- Details
Name: | us-gaap_FairValueByMeasurementFrequencyAxis=us-gaap_FairValueMeasurementsRecurringMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_FairValueByFairValueHierarchyLevelAxis=us-gaap_FairValueInputsLevel1Member
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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

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

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

X
- Details
Name: | us-gaap_FairValueByFairValueHierarchyLevelAxis=us-gaap_FairValueInputsLevel2Member
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_FairValueByFairValueHierarchyLevelAxis=us-gaap_FairValueInputsLevel3Member
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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

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