XML 111 R73.htm IDEA: XBRL DOCUMENT
v3.24.0.1

Commitments and Contingencies (FY) (Details) |  | 9 Months Ended | 10 Months Ended | 12 Months Ended
--- | --- | --- | --- | ---
Nov. 01, 2021 USD ($) $ / shares | Sep. 30, 2023 USD ($) Demand | Dec. 31, 2021 USD ($) | Dec. 31, 2022 USD ($) Demand $ / shares
Underwriting Agreement [Abstract] |  |  |  |
Payments for underwriting expense | $ 4,000,000 |  | $ 4,000,000 | $ 0
Payments for underwriting expense per unit (in dollars per share) | $ / shares | $ 0.17 |  |  |
Deferred underwriting fee per unit (in dollars per share) | $ / shares |  |  |  | $ 0.376
Deferred underwriting fees | $ 8,650,000 | $ 0 |  | $ 8,650,000
Marketing Fee Agreement [Abstract] |  |  |  |
Advisory fee |  | 150,000 |  | 150,000
Minimum [Member] |  |  |  |
Marketing Fee Agreement [Abstract] |  |  |  |
Payment to advisors upon close |  | $ 2,000,000 |  | $ 2,000,000
Maximum [Member] |  |  |  |
Registration and Stockholder Rights [Abstract] |  |  |  |
Number of demands eligible security holder can make | Demand |  | 3 |  | 3
Marketing Fee Agreement [Abstract] |  |  |  |
Payment to advisors upon close |  | $ 6,000,000 |  | $ 6,000,000

X
- Definition Deferred underwriting fees per unit payable to underwriters if the Company completes a Business Combination, subject to terms of the underwriting agreement. + References No definition available. + Details
Name: | fiac_DeferredUnderwritingFeePerUnit
Namespace Prefix: | fiac_
Data Type: | dtr-types:perShareItemType
Balance Type: | na
Period Type: | duration

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

X
- Definition Represents the number of demands eligible security holder can make. + References No definition available. + Details
Name: | fiac_NumberOfDemandsEligibleSecurityHolderCanMake
Namespace Prefix: | fiac_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | instant

X
- Definition The cash outflow for payment of underwriter discount. + References No definition available. + Details
Name: | fiac_PaymentOfUnderwriterDiscount
Namespace Prefix: | fiac_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Cash per unit paid for expenses incurred during underwriting activities (the process to review insurance applications, evaluate risks, accept or reject applications, and determine the premiums to be charged) for insurance companies. + References No definition available. + Details
Name: | fiac_PaymentsForUnderwritingExpensePerUnit
Namespace Prefix: | fiac_
Data Type: | dtr-types:perShareItemType
Balance Type: | na
Period Type: | duration

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

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

X
- Definition Amount of costs incurred and deferred for underwriting fees in connection with the offering of Units in Initial Public Offering and Private Placement of Warrants. + References No definition available. + Details
Name: | fiac_UnderwritingFeesDeferred
Namespace Prefix: | fiac_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Amount of expense for advisory service from general partner. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 946 -SubTopic 20 -Name Accounting Standards Codification -Section 45 -Paragraph 4 -Publisher FASB -URI https://asc.fasb.org//1943274/2147481019/946-20-45-4 + Details
Name: | us-gaap_InvestmentCompanyGeneralPartnerAdvisoryService
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition A fee charged for services from professionals such as doctors, lawyers and accountants. The term is often expanded to include other professions, for example, pharmacists charging to maintain a medicinal profile of a client or customer. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Topic 946 -SubTopic 830 -Name Accounting Standards Codification -Section 55 -Paragraph 10 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480167/946-830-55-10 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 946 -SubTopic 220 -Name Accounting Standards Codification -Section 45 -Paragraph 3 -Subparagraph (k) -Publisher FASB -URI https://asc.fasb.org//1943274/2147483581/946-220-45-3 Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 946 -SubTopic 220 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.6-07(2)(b)) -Publisher FASB -URI https://asc.fasb.org//1943274/2147483575/946-220-S99-1 + Details
Name: | us-gaap_ProfessionalFees
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Details
Name: | srt_RangeAxis=srt_MinimumMember
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: |