Commitments and Contingencies - Additional Information (Detail) - USD ($)							9 Months Ended	11 Months Ended
	Sep. 30, 2024	Nov. 02, 2023	Oct. 31, 2023	Nov. 05, 2021	Aug. 23, 2021	Feb. 16, 2021	Sep. 30, 2024	Dec. 31, 2021	Oct. 23, 2024	Apr. 30, 2024	Dec. 31, 2023	Dec. 31, 2022
Loss Contingencies [Line Items]
Percentage of excise tax liability	1.00%						1.00%
Sales and excise tax payable current	$ 1,076,073						$ 1,076,073				$ 1,076,073
Common Class A [Member]
Loss Contingencies [Line Items]
Stock redeemed or called during period, shares	10,301,658	1,831,599	835,672
Temporary Equity, Aggregate Amount of Redemption Requirement	$ 107,607,366	$ 19,763,618	$ 9,500,000				107,607,366
IPO [Member] | Common Class A [Member]
Loss Contingencies [Line Items]
Stock shares issued during the period shares				11,500,000
Shares issued, price per share				$ 10
Underwriter [Member] | Underwriting Agreement [Member] | Deferred Underwriting [Member]
Loss Contingencies [Line Items]
Deferred underwriting discount per share								$ 0.7
Underwriter [Member] | IPO [Member] | Underwriting Agreement [Member] | Deferred Underwriting [Member]
Loss Contingencies [Line Items]
Sale of Stock, Number of Shares Issued in Transaction								10,000,000
Deferred underwriting discount per share								$ 0.5
Deferred underwriting commission												$ 6,050,000
Deferred underwriting commission waived							6,050,000
Deferred underwriting commission non current	$ 0						0				$ 0
Waiver of deferred underwriting commission recorded in accumulated deficit							$ 6,050,000
Anchor Investor [Member] | Common Class A [Member]
Loss Contingencies [Line Items]
Shares issued, price per share	$ 10						$ 10
Anchor Investor [Member] | Common Class A [Member] | Share Price Less than Or Equal to Nine Point Two Zero USD Per Share [Member]
Loss Contingencies [Line Items]
Proceeds from Issuance of Common Stock					$ 30,000,000		$ 30,000,000
Shares issued, price per share	9.2						$ 9.2
Anchor Investor [Member] | Common Class A [Member] | Share Price Equals to Ten USD Per Share [Member]
Loss Contingencies [Line Items]
Proceeds from Issuance of Common Stock					$ 27,600,000		$ 27,600,000
Shares issued, price per share	$ 10						$ 10
Anchor Investor [Member] | Common Class A [Member] | Crescent Park [Member]
Loss Contingencies [Line Items]
Stock shares issued during the period shares					2,500,000		2,500,000
Anchor Investor [Member] | Common Class A [Member] | Carnegie Park [Member]
Loss Contingencies [Line Items]
Stock shares issued during the period shares					500,000		500,000
Anchor Investor [Member] | IPO [Member] | Founder Shares [Member]
Loss Contingencies [Line Items]
Stock issued during period, value, issued for services						$ 60,800,000
Cartesian Escrow Parties [Member]
Loss Contingencies [Line Items]
Escrow deposits released for excise tax liability										$ 900,000
Cartesian Escrow Parties [Member] | Flybondi Business Combination Agreement [Member]
Loss Contingencies [Line Items]
Escrow deposits released for excise tax liability	$ 900,000						$ 900,000
Taxes payable current									$ 1,076,073
Share repurchase program excise tax payable									$ 900,000