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Private Placement (Details) - USD ($) |  | 6 Months Ended
--- | --- | ---
Nov. 01, 2021 | Jun. 30, 2023
Private Placement Warrants [Abstract] |  |
Number of trading days |  | 10 days
Private Placement Warrants [Member] |  |
Private Placement Warrants [Abstract] |  |
Warrants issued (in shares) | 11,200,000 |
Share price (in dollars per share) | $ 1 |
Gross proceeds from private placement | $ 11,200,000 |
Number of trading days |  | 30 days
Percentage of redemption of public shares |  | 100.00%
Period of redemption of public shares from the closing of IPO |  | 18 months
Private Placement [Member] | Private Placement Warrants [Member] |  |
Private Placement Warrants [Abstract] |  |
Warrants issued (in shares) | 11,200,000 |
Share price (in dollars per share) | $ 1 |
Gross proceeds from private placement | $ 11,200,000 |

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
- Definition Number of trading days for common stock price to exceed threshold, in PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References No definition available. + Details
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Balance Type: | na
Period Type: | duration

X
- Definition The percentage of redemption of public shares if the entity does not complete initial business combination within 18 months from the closing of IPO. + References No definition available. + Details
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X
- Definition The period of redemption of public shares from closing of initial public offering, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + References No definition available. + Details
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Namespace Prefix: | fiac_
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Period Type: | duration

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- References No definition available. + Details
Name: | fiac_PrivatePlacementWarrantsAbstract
Namespace Prefix: | fiac_
Data Type: | xbrli:stringItemType
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- Definition The cash inflow associated with the amount received from entity's raising of capital via private rather than public placement. + 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
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Per share or per unit amount of equity securities issued. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | dtr-types:perShareItemType
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- Details
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X
- Details
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Namespace Prefix: |
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Balance Type: |
Period Type: |