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Related Party Transactions (Details)
3 Months Ended 9 Months Ended 12 Months Ended
May 13, 2024
USD ($)
$ / shares
shares
May 08, 2024
USD ($)
Mar. 07, 2024
USD ($)
Directors
$ / shares
shares
Feb. 15, 2024
USD ($)
Dec. 29, 2023
USD ($)
shares
Dec. 17, 2021
shares
Mar. 22, 2021
Directors
shares
Feb. 01, 2021
shares
Nov. 29, 2020
USD ($)
shares
Sep. 30, 2024
USD ($)
$ / shares
Sep. 30, 2024
USD ($)
$ / shares
shares
Dec. 31, 2023
USD ($)
Related Party Transactions [Line Items]                        
Administrative services fees                   $ 22,500 $ 22,500
Related Party [Member]                        
Related Party Transactions [Line Items]                        
Promissory note                   400,000 $ 400,000 628,182
GP Sponsor [Member] | Founder Shares [Member]                        
Related Party Transactions [Line Items]                        
Number of shares issued value                 $ 25,000      
Founder Shares [Member]                        
Related Party Transactions [Line Items]                        
Share based compensation expense                      
Founder Shares [Member] | Sponsor [Member]                        
Related Party Transactions [Line Items]                        
Number of shares issued (in Shares) | shares     25,000       3,543,750          
Stock price trigger to transfer, assign or sell any shares after the completion of the business combination (in Dollars per share) | $ / shares     $ 12               $ 12  
Transfer, assign or sell threshold trading days     20 days               20 days  
Transfer, assign or sell Any shares threshold consecutive trading days     30 days               30 days  
Threshold period after business combination     150 days               150 days  
Number of shares granted (in Shares) | shares     75,000                  
Number Of Directors To Whom Shares Transferred (in Directors) | Directors     3                  
Share price (in Dollars per share) | $ / shares     $ 0.0034                  
Share transfer consideration from each director     $ 86.96                  
Share transfer consideration     $ 260.88                  
Shares granted (in Shares) | shares     75,000                  
Fair value of shares granted     $ 130,500                  
Fair value per share (in Dollars per share) | $ / shares     $ 1.74                  
Founder Shares [Member] | GP Sponsor [Member]                        
Related Party Transactions [Line Items]                        
Number of independent directors to whom shares transferred (in Directors) | Directors             4          
Promissory Note With Related Party [Member] | Sponsor [Member] | IDS III LLC [Member]                        
Related Party Transactions [Line Items]                        
Maximum loan         $ 400,000              
Promissory Note With Related Party [Member] | Sponsor [Member] | Boxcar Partners Two, LLC [Member]                        
Related Party Transactions [Line Items]                        
Maximum loan       $ 125,000                
Promissory Note With Related Party [Member] | Related Party [Member]                        
Related Party Transactions [Line Items]                        
Promissory note                   400,000 $ 400,000  
Promissory Note With Related Party [Member] | Related Party [Member] | GPIC, LLC [Member]                        
Related Party Transactions [Line Items]                        
Maximum loan                 $ 700,000      
Promissory Note With Related Party [Member] | Related Party [Member] | GPIAC II, LLC [Member]                        
Related Party Transactions [Line Items]                        
Promissory note                       628,182
Administrative Services Agreement [Member] | Sponsor [Member]                        
Related Party Transactions [Line Items]                        
Administrative services fees   $ 5,000                    
Working Capital Loans [Member] | Sponsor [Member]                        
Related Party Transactions [Line Items]                        
Maximum amount of loan convertible into warrants                   $ 1,500,000 $ 1,500,000  
Conversion price per warrant (in Dollars per share) | $ / shares                   $ 1 $ 1  
Working capital loans                  
Class B Ordinary Shares [Member] | Founder Shares [Member]                        
Related Party Transactions [Line Items]                        
Number of shares issued (in Shares) | shares           9,583,334            
Number of Shares Cancelled due to Share Surrender (in Shares) | shares         2,395,834              
Number of shares not subject to forfeiture (in Shares) | shares                     937,500  
Class B Ordinary Shares [Member] | Founder Shares [Member] | Sponsor [Member]                        
Related Party Transactions [Line Items]                        
Number of shares issued (in Shares) | shares           2,395,834     11,500,000      
Shares outstanding (in Shares) | shares         7,187,500              
Percentage of issued and outstanding shares                     20.00%  
Class B Ordinary Shares [Member] | Founder Shares [Member] | GP Sponsor [Member]                        
Related Party Transactions [Line Items]                        
Number of shares issued (in Shares) | shares             25,000          
Shares outstanding (in Shares) | shares               7,187,500        
Class B Ordinary Shares [Member] | Independent Directors [Member] | Founder Shares [Member] | GP Sponsor [Member]                        
Related Party Transactions [Line Items]                        
Number of shares issued (in Shares) | shares             100,000          
Founder Shares [Member] | Class B Ordinary Shares [Member] | GP Sponsor [Member]                        
Related Party Transactions [Line Items]                        
Number of Shares Cancelled due to Share Surrender (in Shares) | shares               4,312,500        
Over-Allotment Option [Member]                        
Related Party Transactions [Line Items]                        
Fair value per share (in Dollars per share) | $ / shares $ 10                      
Over-Allotment Option [Member] | Class B Ordinary Shares [Member] | Founder Shares [Member]                        
Related Party Transactions [Line Items]                        
Number of shares not subject to forfeiture (in Shares) | shares 937,500