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Description of Organization and Business Operations (Details) |  |  |  | 9 Months Ended | 11 Months Ended | 12 Months Ended |
--- | --- | --- | --- | --- | --- | --- | ---
Mar. 28, 2022 USD ($) | Mar. 08, 2022 USD ($) $ / shares | Aug. 06, 2021 USD ($) $ / shares shares | Sep. 30, 2022 USD ($) item $ / shares shares | Dec. 31, 2021 USD ($) item $ / shares shares | Dec. 31, 2021 USD ($) $ / shares shares | Dec. 31, 2020 USD ($) $ / shares shares | Nov. 09, 2022 shares
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Condition for future business combination number of businesses minimum | item |  |  |  | 1 | 1 |  |  |
Common shares, par value (usd per share) | $ / shares |  |  |  | $ 0.0001 | $ 0.0001 | $ 0.0001 | $ 0.0001 |
Price of warrant | $ / shares |  |  |  | $ 11.50 | 11.50 | 11.50 |  |
Class of warrant or right, exercise price of warrants or rights (in dollars per share) | $ / shares |  |  |  |  | $ 14.69 | $ 14.69 | $ 19.93 |
Sale of private placement warrants (in shares) | shares |  |  |  | 225,223 | 225,223 | 225,223 | 383,281 |
Proceeds received from private placement |  |  |  |  |  | $ 30,000,000 | $ 0 |
Underwriting discount |  |  |  | $ 1,500,000 |  |  |  |
Deferred underwriting discount |  |  |  | $ 5,250,000 | $ 5,250,000 | 5,250,000 |  |
Payments for investment of cash in trust account |  |  | $ 150,000,000 |  |  |  |  |
Condition for future business combination use of proceeds percentage |  |  |  | 80 | 80 |  |  |
Condition For Future Business Combination Threshold Percentage Ownership |  |  |  | 50 | 50 |  |  |
Obligation to redeem Public Shares if entity does not complete a Business Combination (as a percent) |  |  |  | 100.00% | 100.00% |  |  |
Condition For Future Business Combination Threshold Net Tangible Assets |  |  |  | $ 5,000,001 | $ 5,000,001 | $ 5,000,001 |  |
Months to complete acquisition |  |  |  | 24 months | 24 months |  |  |
Redemption period upon closure |  |  |  | 10 days | 10 days |  |  |
Maximum allowed dissolution expenses |  |  |  | $ 100,000 | $ 100,000 |  |  |
Tax obligations |  |  |  | 536,000 |  |  |  |
Working capital deficit |  |  |  | $ 3,500,000 | $ 100,000 |  |  |
Exercise price of warrant | $ / shares |  |  |  |  | $ 14.69 | $ 14.69 | $ 19.93 |
Number of shares per warrant | shares |  |  |  | 1 | 1 | 1 |  |
Funds in Trust Account per public share | $ / shares |  |  |  | $ 10.00 | $ 10.00 | $ 10.00 |  |
Proceeds held in operating account for working capital purpose |  |  |  | $ 7,000 | $ 300,000 | $ 300,000 |  |
Minimum |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Class of warrant or right, exercise price of warrants or rights (in dollars per share) | $ / shares |  |  |  | $ 14.69 | $ 14.69 | $ 14.69 |  |
Exercise price of warrant | $ / shares |  |  |  | 14.69 | 14.69 | 14.69 |  |
LanzaTech Global |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Purchase price, per unit | $ / shares |  | $ 10.00 |  |  |  |  |  |
Class of warrant or right, exercise price of warrants or rights (in dollars per share) | $ / shares |  | $ 10.00 |  |  |  |  |  |
Consideration consisting of equity interests |  | $ 1,817,000,000 |  |  |  |  |  |
Price per share | $ / shares |  | $ 10.00 |  |  |  |  |  |
Cash held in AMCI's trust account |  | $ 230,000,000 |  |  |  |  |  |
Exercise price of warrant | $ / shares |  | $ 10.00 |  |  |  |  |  |
LanzaTech Global | Minimum |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Net tangible assets |  | $ 5,000,001 |  |  |  |  |  |
Class A Common stock |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Common shares, par value (usd per share) | $ / shares |  |  |  | $ 0.0001 | $ 0.0001 | $ 0.0001 |  |
Working Capital Loans |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Outstanding balance |  |  |  | $ 0 | $ 0 | $ 0 |  |
Subsequent Event |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Sale of private placement warrants (in shares) | shares |  |  |  |  |  |  |  | 316,250
Subsequent Event | LanzaTech Global |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Purchase price, per unit | $ / shares |  | $ 10.00 |  |  |  |  |  |
Class of warrant or right, exercise price of warrants or rights (in dollars per share) | $ / shares |  | 10.00 |  |  |  |  |  |
Price per share | $ / shares |  | 10.00 |  |  |  |  |  |
Exercise price of warrant | $ / shares |  | $ 10.00 |  |  |  |  |  |
Subsequent Event | LanzaTech Global | Minimum |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Net tangible assets |  | $ 5,000,001 |  |  |  |  |  |
Cash held in AMCI's trust account |  | $ 230,000,000 |  |  |  |  |  |
IPO [Member] |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Number of units sold | shares |  |  | 15,000,000 |  |  |  |  |
Purchase price, per unit | $ / shares |  |  | $ 10.00 |  |  |  |  |
Class of warrant or right, exercise price of warrants or rights (in dollars per share) | $ / shares |  |  | $ 11.50 |  |  |  |  |
Proceeds received from initial public offering, gross |  |  | $ 150,000,000 |  |  |  |  |
Transaction Costs |  |  | 13,782,542 |  |  |  |  |
Value of Class B common stock transferred to Anchor Investors at initial public offering |  |  | 6,509,758 |  |  |  |  |
Underwriting discount |  |  | 1,500,000 |  |  |  |  |
Deferred underwriting discount |  |  | 5,250,000 |  |  |  |  |
Other offering costs |  |  | $ 522,784 |  |  |  |  |
Price per share | $ / shares |  |  | $ 10.00 |  |  |  |  |
Exercise price of warrant | $ / shares |  |  | $ 11.50 |  |  |  |  |
Number of shares per warrant | shares |  |  | 1 |  |  |  |  |
Number of shares in a unit | shares |  |  | 1 |  |  |  |  |
Number of warrants in a unit | shares |  |  | 0.5 |  |  |  |  |
IPO [Member] | Class A Common stock |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Common shares, par value (usd per share) | $ / shares |  |  | $ 0.0001 |  |  |  |  |
Private Placement |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Proceeds held in operating account for working capital purpose |  |  | $ 900,000 |  |  |  |  |
Private Placement | Private Placement Warrants |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Price of warrant | $ / shares |  |  | $ 1.00 |  |  |  |  |
Class of warrant or right, exercise price of warrants or rights (in dollars per share) | $ / shares |  |  | $ 11.50 |  |  |  |  |
Sale of private placement warrants (in shares) | shares |  |  | 3,500,000 |  |  |  |  |
Proceeds received from private placement |  |  | $ 3,500,000 |  |  |  |  |
Restrictions on transfer period of time after business combination completion |  |  | 30 days |  |  |  |  |
Exercise price of warrant | $ / shares |  |  | $ 11.50 |  |  |  |  |
Number of shares per warrant | shares |  |  | 1 |  |  |  |  |
Sponsor |  |  |  |  |  |  |  |
Description of Organization and Business Operations |  |  |  |  |  |  |  |
Aggregate purchase price |  |  |  | $ 25,000 | $ 25,000 |  |  |
Working Capital Loan | $ 1,500,000 |  |  |  |  |  |  |

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