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Initial Public Offering - Schedule of Common Stock Subject to Redemption Reflected on the Condensed Balance Sheets (Details) - Class A Common Stock [Member] - USD ($) | 9 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2024 | Dec. 31, 2023 | Dec. 31, 2022
Temporary Equity [Line Items] |  |  |
Gross proceeds, including over-allotment |  |  | $ 248,693,420
Proceeds allocated to Public Warrants |  |  | (8,264,360)
Redemption of shares | $ (115,489,643) | $ (96,791,644) |
Class A common stock issuance costs |  |  | (13,734,146)
Plus: |  |  |
Accretion of carrying value to redemption value | 1,764,032 | 8,699,271 | 27,119,341
Class A common stock subject to possible redemption | 51,996,271 | 165,721,882 | 253,814,255
Less: |  |  |
Proceeds allocated to Public Warrants |  |  | (8,264,360)
Redemption of shares | $ (115,489,643) | $ (96,791,644) |
Class A common stock issuance costs |  |  | $ (13,734,146)

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