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Related Party Transactions - Additional Information (Detail) - USD ($)
1 Months Ended 3 Months Ended 6 Months Ended 12 Months Ended
Dec. 14, 2021
Aug. 21, 2021
Jul. 31, 2021
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Related Party Transaction [Line Items]                    
Related party transaction expenses           $ 8,492,772        
Capital contribution               $ 15,000,000 $ 0 $ 0
Outstanding related party payable       $ 9,560,773   9,560,773   0    
Outstanding related party receivable       256,645   256,645   220,000    
Outstanding related party payable from reimbursement for marketing expenses       589,852   589,852        
Outstanding related party payable from reimbursement for payroll expenses       320,313   320,313        
Parent Company [Member]                    
Related Party Transaction [Line Items]                    
General and administrative allocations by parent               1,323,915 $ 1,167,432 $ 1,710,595
Master Service Agreement And Shared Service Agreement                    
Related Party Transaction [Line Items]                    
Related party transaction amounts of transaction               1,109,345    
Minimum [Member]                    
Related Party Transaction [Line Items]                    
Proceeds from Contributions from related party     $ 300,000,000              
Master Service Agreement [Member]                    
Related Party Transaction [Line Items]                    
Related party transaction expenses           8,329,133        
Outstanding related party payable       8,500,315   8,500,315        
Master Service Agreement [Member] | Parent Company [Member]                    
Related Party Transaction [Line Items]                    
Service agreement fees and expenses settlement days 45 days                  
Shared Service Agreement [Member]                    
Related Party Transaction [Line Items]                    
Related party transaction expenses           163,649        
Outstanding related party payable       150,293   150,293        
Shared Service Agreement [Member] | Parent Company [Member]                    
Related Party Transaction [Line Items]                    
Service agreement fees and expenses settlement days 45 days                  
Period of service agreement term 15 years                  
ERJ [Member]                    
Related Party Transaction [Line Items]                    
Proceeds from contributed capital   $ 15,000,000                
ERJ                    
Related Party Transaction [Line Items]                    
Outstanding related party payable       8,775,560   8,775,560   0    
Outstanding related party receivable       256,645   256,645   220,000    
ERJ | 2022 stock Incentive Plan                    
Related Party Transaction [Line Items]                    
Outstanding related party receivable       252,728   252,728        
ERJ | Selling, General and Administrative Expenses                    
Related Party Transaction [Line Items]                    
Capital contribution     $ 15,000,000              
Allocated corporate costs (income)       169,213 $ 429,467 711,461 $ 757,410      
ERJ | Master Service Agreement [Member]                    
Related Party Transaction [Line Items]                    
Period of service agreement renewal term 1 year                  
Atech [Member]                    
Related Party Transaction [Line Items]                    
Outstanding related party payable       464,900   464,900   0    
Outstanding related party receivable       $ 0   $ 0   $ 0    
Atech [Member] | Shared Service Agreement [Member]                    
Related Party Transaction [Line Items]                    
Period of service agreement term 15 years