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Income Taxes - Reconciliation of the statutory federal income tax rate (benefit) (Details) - USD ($) |  | 2 Months Ended | 3 Months Ended | 6 Months Ended | 9 Months Ended | 11 Months Ended | 12 Months Ended
--- | --- | --- | --- | --- | --- | --- | ---
Jan. 31, 2021 | Mar. 31, 2021 | Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2022 | Sep. 30, 2021 | Dec. 31, 2021 | Dec. 31, 2021 | Dec. 31, 2020
Income Tax Disclosure [Abstract] |  |  |  |  |  |  |  |  |
Change in valuation allowance |  |  |  |  |  |  | $ 290,181 | $ 7,958,000 | $ 5,505,000
Income Tax Expense (Benefit) |  |  |  |  | $ 0 | $ 0 | $ 0 | $ 0 | $ 0
Statutory federal income tax rate (in percent) | 21.00% | 21.00% | 21.00% | 21.00% | 21.00% |  | 21.00% | 21.00% | 28.00%
Change in fair value of derivative warrant liabilities (in percent) |  |  |  |  |  |  | (855.90%) |  |
Offering costs allocated to derivative warrant liabilities (in percent) |  |  |  |  |  |  | 214.00% | (0.30%) | 0.50%
Change in valuation allowance (in percent) |  |  |  |  |  |  | 620.90% | (17.00%) | (14.10%)
Effective tax rate |  |  |  |  | 0.00% | 0.00% | 0.00% | 0.00% | 0.00%
Valuation allowance |  |  |  |  |  |  | $ 113,276,000 | $ 113,276,000 | $ 108,300,000

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- Definition Amount of deferred tax assets for which it is more likely than not that a tax benefit will not be realized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c) -URI https://asc.fasb.org/extlink&oid=121826272&loc=d3e32537-109319 + Details
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- Definition Percentage of domestic federal statutory tax rate applicable to pretax income (loss). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 6.I.Fact.4) -URI https://asc.fasb.org/extlink&oid=122134291&loc=d3e330036-122817 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08(h)(2)) -URI https://asc.fasb.org/extlink&oid=120395691&loc=d3e23780-122690 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 12 -URI https://asc.fasb.org/extlink&oid=121826272&loc=d3e32687-109319 + Details
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