Related Party Transactions - Additional Information (Detail) - USD ($)		3 Months Ended		9 Months Ended		12 Months Ended
	Jun. 07, 2021	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023	Dec. 31, 2023	May 23, 2024	Apr. 01, 2024	Mar. 28, 2024	Jan. 17, 2024	May 31, 2023	Mar. 31, 2023	Dec. 28, 2022
Share price		$ 10.2		$ 10.2
Proceeds from related party debt				$ 1,470,957	$ 1,475,719
Related Party [Member]
Administrative service fee payable current		$ 60,667		60,667		$ 667
Sponsor [Member] \| Commercial Paper [Member]
Proceeds from related party debt				$ 5,326,942		3,855,985
Sponsor [Member] \| Convertible Promissory Note [Member]
Debt instrument, face amount													$ 2,300,000
Debt instrument, convertible, carrying amount of equity component													$ 1,500,000
Debt instrument, Convertible, Conversion price		$ 1		$ 1									$ 1
Notes payable, related parties		$ 2,300,000		$ 2,300,000		2,300,000
Common stock, par value													$ 0.0001
Sponsor [Member] \| Convertible Promissory Note April Note [Member]
Notes payable, related parties		2,300,000		2,300,000		$ 2,300,000
Sponsor [Member] \| Promissory Note [Member]
Debt instrument, face amount								$ 1,580,000			$ 835,718	$ 1,920,000
Administration And Support Services [Member]
Accrued related party costs		$ 30,000	$ 30,000	90,000	$ 90,000
Administration And Support Services [Member] \| Affiliate Of The Sponsor [Member]
Related party transaction, Amounts of transaction				$ 10,000
Common Class A [Member]
Common stock, par value		$ 0.0001		$ 0.0001		$ 0.0001	$ 0.0001		$ 0.0001	$ 0.0001
Common Class A [Member] \| Founder Shares Transfer Event [Member] \| Share Price Equals Or Exceeds Twelve USD [Member]
Share price		12		$ 12
Number of trading days determining share price				20 days
Number of consecutive trading days determining share price				30 days
Threshold number of trading days determining share price				150 days
Common Class B [Member]
Common stock, par value		$ 0.0001		$ 0.0001		$ 0.0001			$ 0.0001	$ 0.0001
Common Class B [Member] \| Founder Shares [Member] \| Sponsor [Member]
Stock issued during period, Value, Issued for services	$ 25,000
Stock issued during period, Shares, Issued for services	5,750,000

Direct Selling Acquisition Corp. 10-Q