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Stockholders' Deficit - Additional Information (Detail)
9 Months Ended 12 Months Ended
Jun. 28, 2023
shares
Sep. 30, 2024
Day
$ / shares
shares
Dec. 31, 2023
Day
$ / shares
shares
Sep. 10, 2024
$ / shares
shares
Jun. 30, 2024
shares
Dec. 19, 2023
$ / shares
shares
Aug. 02, 2023
$ / shares
Jun. 27, 2023
$ / shares
shares
Dec. 31, 2022
$ / shares
shares
Dec. 07, 2022
shares
Dec. 02, 2022
$ / shares
shares
Preferred stock, par or stated value per share | $ / shares   $ 0.0001 $ 0.0001           $ 0.0001    
Preferred stock, Shares authorized   1,000,000 1,000,000           1,000,000    
Preferred Stock, shares issued   0 0           0    
Preferred stock, shares outstanding   0 0           0    
Temporary equity, shares outstanding       368,879   637,605   766,064   1,010,391  
Percentage of common stock issued and outstanding 40                    
Share price | $ / shares     $ 18                
Percentage of proceeds from share issuances   60.00% 60.00%                
Sponsor [Member]                      
Percentage of common stock issued and outstanding 0.40                    
Sponsor [Member] | Conversion of Class B to Class A Common Stock [Member]                      
Conversion of Stock, Shares Converted 4,000,000                    
Conversion of Stock, Shares Issued 4,000,000                    
Common Class A [Member]                      
Common stock, shares authorized   200,000,000 200,000,000           200,000,000    
Common stock, par or stated value per share | $ / shares   $ 0.0001 $ 0.0001 $ 10.9   $ 10.62 $ 0.0001   $ 0.0001   $ 10.12
Common stock, shares, issued   4,910,000 4,910,000   4,910,000       910,000    
Common stock, shares, outstanding   4,910,000 4,910,000 268,726 4,910,000 128,459     910,000   28,989,609
Common stock, voting rights   one one                
Temporary equity, shares outstanding   368,879 637,605           1,010,391    
Share price | $ / shares   $ 10.05                  
Common Class A [Member] | Sponsor [Member]                      
Common stock, par or stated value per share | $ / shares               $ 10.29     $ 10.29
Share price | $ / shares   12 $ 12                
Common Class A [Member] | Share Price Below Nine Point Two Usd [Member] | Business Acquisition [Member]                      
Business acquisition, share price | $ / shares   $ 9.2 $ 9.2                
Common Class A [Member] | Common Stock [Member]                      
Common stock, shares authorized   200,000,000 200,000,000           200,000,000    
Temporary equity, shares outstanding   368,879 368,879                
Common Class B [Member]                      
Common stock, shares authorized   20,000,000 20,000,000           20,000,000    
Common stock, par or stated value per share | $ / shares   $ 0.0001 $ 0.0001           $ 0.0001    
Common stock, shares, issued   6,303,333 6,303,333           10,303,333    
Common stock, shares, outstanding   6,303,333 6,303,333           10,303,333    
Common stock, voting rights   one one                
Percentage of common stock issued and outstanding   25 25                
Common Class B [Member] | Sponsor [Member]                      
Common stock, shares, outstanding 4,000,000                    
Common Class B [Member] | Common Stock [Member]                      
Common stock, shares authorized   20,000,000 20,000,000           20,000,000    
Class A Common Stock Subject to Possible Redemption [Member] | Common Stock [Member]                      
Temporary equity, shares outstanding     637,605           1,010,391    
Public Warrants [Member]                      
Minimum lock in period required for warrant exercise from the date of business combination   15 days 15 days                
Minimum lock in period required for warrant exercise from the date of IPO   12 months 12 months                
Warrants and rights outstanding, term   5 years 5 years                
Public Warrants [Member] | Share Price More Than Or Equals To Usd Eighteen [Member]                      
Share price | $ / shares   $ 18 $ 18                
Warrants, redemption price per share | $ / shares   $ 0.01 $ 0.01                
Minimum notice period for warrants redemption   30 days 30 days                
Warrants redeemable, threshold consecutive trading days | Day   20 20                
Warrants redeemable, threshold trading days | Day   30 30                
Public Warrants [Member] | Share Price Less Than Eighteen Usd [Member]                      
Share price | $ / shares   $ 18 $ 18                
Public Warrants [Member] | Maximum [Member]                      
Minimum lock in period required for warrant exercise from the date of business combination   30 days 30 days                
Public Warrants [Member] | Maximum [Member] | Share Price Less Than Eighteen Usd [Member]                      
Warrants exercise price adjustment percentage   180.00% 180.00%                
Public Warrants [Member] | Minimum [Member]                      
Warrants exercise price adjustment percentage   115.00% 115.00%