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Stockholders' Equity/(Deficit) - Additional Information (Detail)
3 Months Ended 9 Months Ended
Jun. 27, 2025
USD ($)
Apr. 30, 2025
$ / shares
shares
Mar. 27, 2025
shares
Dec. 23, 2024
USD ($)
$ / shares
shares
Jun. 10, 2022
USD ($)
shares
Sep. 30, 2025
USD ($)
$ / shares
shares
Sep. 30, 2024
USD ($)
Sep. 30, 2025
USD ($)
$ / shares
shares
Sep. 30, 2024
USD ($)
Dec. 31, 2024
USD ($)
shares
Dec. 31, 2023
$ / shares
shares
Dec. 28, 2023
USD ($)
Dec. 01, 2023
USD ($)
Mar. 06, 2023
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Common Stock, Value, Issued | $           $ 5,039   $ 5,039   $ 2,883        
APIC at a fair value | $       $ 1,500,000                    
Share-based compensation expense | $           $ 45,742 $ 101,785 $ 137,226 $ 1,666,318          
Common stock, shares issued           50,384,898   50,384,898   28,825,333        
Offering cost paid on sale of common stock | $               $ 97,135 $ 0          
Restricted Stock Units                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Number of Shares, Granted               44,879            
SPA                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Shares issued and sold   7,220,141   7,377,912   4,373,893   6,975,488            
Purchase price per share | $ / shares   $ 1.1   $ 0.55                    
Aggregate purchase price | $       $ 4,100,000   $ 4,800,000   $ 7,700,000            
Remaining options to purchase outstanding           0   0            
Oceanica Equity Exchange Agreements                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Accrued aggregate of adminstrators and officers               1,911,666            
Compensation quota aggregate amount of additional fair value | $               $ 2,029,575            
Compensation quota, incremental value | $ $ 2,029,575                          
Oceanica Equity Exchange Agreements | Odyssey's Common Stock [Member]                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Common stock, shares issued           1,841,137   1,841,137            
December 2023 Warrants                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Debt instrument face amount | $                       $ 2,250,000 $ 3,750,000  
March 2023 Warrants                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Class of warrants or rights exercise price of warrants or rights | $ / shares                           $ 1.1
2022 Warrants                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Class of warrant or right, Number of securities called by warrants or rights         4,939,515                  
Warrants, expiration beginning date         Dec. 10, 2022                  
Warrants, expiration date         Jun. 10, 2027                  
Common stock, shares issued         4,939,515                  
Offering cost paid on sale of common stock | $         $ 1,800,000                  
Net proceeds received from sale | $         $ 14,700,000                  
2022 Warrants | Measurement Input, Exercise Price [Member]                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Long-term debt measurement input         3.35                  
2022 Warrants | Measurement Input, Share Price [Member]                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Long-term debt measurement input         3.35                  
First tranche | December 2023 Warrants                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Class of warrants or rights exercise price of warrants or rights | $ / shares                     $ 1.23      
Second tranche | December 2023 Warrants                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Class of warrants or rights exercise price of warrants or rights | $ / shares                     $ 2.05      
Maximum [Member] | March 2023 Warrants                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Class of warrant or right, Number of securities called by warrants or rights                           3,703,704
Maximum [Member] | First tranche | December 2023 Warrants                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Class of warrant or right, Number of securities called by warrants or rights                     1,411,765      
Maximum [Member] | Second tranche | December 2023 Warrants                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Class of warrant or right, Number of securities called by warrants or rights                     211,565      
Consultant                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Common stock, shares issued           261,500   261,500            
Common Stock | Oceanica Equity Exchange Agreements                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Exchange value per share | $ / shares           $ 1.12   $ 1.12            
Common Stock | Director [Member]                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Number of stock options granted     7,500                      
Member Interests | Oceanica Equity Exchange Agreements                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Exchange value per share | $ / shares           $ 0.017   $ 0.017