Quarterly report pursuant to Section 13 or 15(d)

Stockholders' Equity and Stock-Based Compensation - Narrative (Details)

v3.23.3
Stockholders' Equity and Stock-Based Compensation - Narrative (Details) - USD ($)
 1 Months Ended 9 Months Ended 12 Months Ended
Feb. 15, 2022
Aug. 31, 2022
Sep. 30, 2023
Dec. 31, 2022
Jul. 28, 2022
Subsidiary, Sale of Stock [Line Items]          
Preferred stock authorized (in shares)     10,000,000    
Preferred stock par value (in dollar per share)     $ 0.001    
Remainder of the principal and interest for the common units redemption price         $ 3,998,635
Warrants outstanding     3,217,800 3,220,000  
Warrants exercise price $ 5.50        
Net proceeds from the offering $ 10,167,043        
Accounts Payable and Accrued Liabilities          
Subsidiary, Sale of Stock [Line Items]          
Accrued offering expense     $ 1,000,000    
Initial public offering          
Subsidiary, Sale of Stock [Line Items]          
Units issued in IPO 2,800,000        
Number of shares of common stock 1        
Number of warrants to purchase each share 1        
Warrants exercisable term 5 years        
Warrants exercise price $ 5.50        
Over-Allotment Option          
Subsidiary, Sale of Stock [Line Items]          
Term of underwriters 45 days        
Purchase option - number of additional units 140,000        
Exercise price of additional units $ 6.60        
Public offering price per unit sold 120.00%        
Over-Allotment Option | Maximum          
Subsidiary, Sale of Stock [Line Items]          
Warrants issued 420,000        
Common Class A          
Subsidiary, Sale of Stock [Line Items]          
Common stock , Authorized     160,000,000 160,000,000  
Common stock , par value     $ 0.001 $ 0.001  
Intrinsic value     $ 0    
Warrants outstanding     2,797,800    
Common Class A | Over-Allotment Option          
Subsidiary, Sale of Stock [Line Items]          
Warrants issued 420,000        
Warrants outstanding     420,000    
Purchase option - number of Warrants 21,000        
Warrants exercise price $ 0.012        
Public offering price per warrant sold 120.00%        
Common Class B          
Subsidiary, Sale of Stock [Line Items]          
Common stock , Authorized     20,000,000 20,000,000  
Common stock , par value     $ 0.001 $ 0.001  
DDH LLC          
Subsidiary, Sale of Stock [Line Items]          
Noneconomic voting rights (as a percent)     100.00%    
DDH LLC | Woolford          
Subsidiary, Sale of Stock [Line Items]          
Aggregate purchase price of units issued     $ 14,246,251    
DDH LLC | Common Units | Woolford          
Subsidiary, Sale of Stock [Line Items]          
Remaining number of units issuable     5,637    
DDH LLC | Class B Preferred Units. | Woolford          
Subsidiary, Sale of Stock [Line Items]          
Remaining number of units issuable     7,046    
DDH LLC | Initial public offering | Woolford          
Subsidiary, Sale of Stock [Line Items]          
Purchase price paid     $ 10,284,089    
DDM | Common Class A          
Subsidiary, Sale of Stock [Line Items]          
Number of units exchanged   100,000   100,000  
DDM | Common Class B          
Subsidiary, Sale of Stock [Line Items]          
Number of shares of common stock     11,278,000