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Organization and Business Operations - Additional Information (Detail) - USD ($)
9 Months Ended
Jul. 10, 2024
Jul. 10, 2024
Jun. 08, 2024
Jun. 06, 2024
May 31, 2024
May 06, 2024
Dec. 15, 2023
Nov. 02, 2023
Jun. 02, 2023
Dec. 29, 2021
Dec. 13, 2021
Sep. 30, 2024
Dec. 31, 2023
Entity Incorporation, Date of Incorporation                       Feb. 02, 2021  
Shares Issued, Price Per Share                     $ 10.2 $ 10  
Class of warrants and rights issued during the period               14,227,128          
Percentage of amount of trust assets of target company excluding working capital underwriting commission and tax                       80.00%  
Proceeds from issuance initial public offering                     $ 219,194,512    
Cash Outside The Trust Account                       $ 5,693  
Working capital (deficit)                       3,544,876  
Proceeds from Issuance of Common Stock                   $ 14,896,580      
Proceeds from unsecured and non-interest bearing promissory note                       $ 2,038,250  
Redeemable percentage of outstanding public shares                       100.00%  
Payment to acquire restricted investments   $ 90,000   $ 90,000   $ 90,000           $ 1,065,015  
Income income on trust account set aside to pay dissolution expenses                       $ 100,000  
Extended period on or before which business combination shall be consummated                       24 months  
Estimated amount of assets to remain in trust account post redemption $ 20,350,872 $ 20,350,872                      
Non Redemption Agreement With Third Party Shareholders Between The Company And CIIG Management Three LLC [Member]                          
Common stock par or stated value per share $ 0.0001 $ 0.0001                      
Restriction on share transfer number of shares 1,679,608 1,679,608                      
Business Combination [Member]                          
Equity method investment ownership percentage                       50.00%  
Sponsor [Member]                          
Proceeds from Issuance of Common Stock                       $ 25,000  
CIIG Management Three LLC [Member]                          
Reimbursement of legacy expenses     $ 1,750,000                 $ 1,750,000  
Public Warrants [Member]                          
Class of warrants and rights issued during the period               7,163,219          
Private Placement Warrants [Member]                          
Class of warrants and rights issued during the period               7,063,909          
Private Placement Warrants [Member] | Sponsor [Member]                          
Class of warrants and rights issued during the period                     6,666,667    
Class of warrants and rights issued price per warrant                     $ 1.5    
Common Class A [Member]                          
Class of Warrant or Right, Exercise Price of Warrants or Rights                     $ 11.5 $ 11.5  
Common stock par or stated value per share                       0.0001 $ 0.0001
Temporary equity redemption price per share                       $ 11.54 11.04
Number Of Trading Days For Determining The Share Price                       20 days  
Common Class A [Member] | Initial Business Combination Extension [Member]                          
Business acquisition, equity interest issued or issuable, number of shares             561,310   16,994,128        
Business acquisition, equity interest issued or issuable, value assigned             $ 6,182,366   $ 178,982,472        
Common stock par or stated value per share             $ 11.01   $ 10.53        
Common Class A [Member] | CIIG Management Three LLC [Member]                          
Interse transfer of shares made         3,533,191                
Common Class A [Member] | Public Warrants [Member]                          
Stock Conversion Basis                       Each Unit consists of one Class A ordinary share and one-third of one redeemable warrant  
Common Class B [Member]                          
Common stock par or stated value per share                       $ 0.0001 $ 0.0001
Common Class B [Member] | CIIG Management Three LLC [Member]                          
Interse transfer of shares made         17,500                
Founder Shares Or Class A Ordinary Shares Issuable Upon Conversion [Member] | CIIG Management Three LLC [Member]                          
Class of Warrant or Right, Exercise Price of Warrants or Rights         $ 12                
Percentage of shares subject to restriction of transfer         50.00%                
Founder Shares Founder Shares And Class A Ordinary Shares Issuable Upon Conversion [Member] | CIIG Management Three LLC [Member]                          
Class of Warrant or Right, Exercise Price of Warrants or Rights         $ 12                
Aggregate number of trading days for determining the trigger share price         30 days                
Number Of Trading Days For Determining The Share Price         20 days                
Waiting Period After Which The Share Trading Days Are Considered         150 days                
Class A Redeemable And Non Redeemable Common Stock [Member]                          
Number of shares temporary and permanent to remain outstanding post redemption 7,128,431 7,128,431                      
Common Class A Subject To Redemption [Member]                          
Temporary equity redemption price per share $ 11.43 $ 11.43                      
Temporary equity shares subject to redemption 2,153,204 2,153,204                      
Temporary equity aggregate amount of redemption requirement $ 24,603,697 $ 24,603,697                      
Additional Promissory Note Promissory Note January Two Thousand And Twenty Four [Member] | Sponsor [Member]                          
Payment to acquire restricted investments $ 5,806                        
IPO [Member]                          
Deferred underwriting Discount                       $ 7,521,380  
IPO [Member] | Common Class A [Member]                          
Stock shares issued during the period shares                     20,000,000    
Shares Issued, Price Per Share                     $ 10    
Over-Allotment Option [Member]                          
Shares Issued, Price Per Share                   $ 10      
Deferred underwriting Discount                       $ 3,000,000  
Proceeds from issuance initial public offering                     $ 219,194,512    
Sale of Stock, Number of Shares Issued in Transaction                   1,489,658      
Over-Allotment Option [Member] | Private Placement Warrants [Member]                          
Class of warrants and rights issued during the period                   397,242      
Class of warrants and rights issued price per warrant                   $ 1.5      
Proceeds from issuance of private placement                   $ 595,863