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Related Party Transactions - Additional Information (Detail) - USD ($)
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Aug. 01, 2022
Dec. 14, 2021
Aug. 21, 2021
Jul. 31, 2021
Sep. 30, 2022
Dec. 31, 2021
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Related Party Transaction [Line Items]                        
Related party transaction expenses               $ 11,829,785 $ 35,263,146      
Outstanding related party payable         $ 14,394,340 $ 8,642,340   14,394,340   $ 8,642,340    
Allocated corporate costs (income)         338,523   $ 3,321,308 1,624,245 7,909,182      
Outstanding related party receivable         81,843,504 220,000   81,843,504   220,000    
Outstanding related party payable from reimbursement for marketing expenses         190,377     190,377        
Transaction Cost Incurred           400,000   24,300,000 2,000,000 8,600,000    
Transaction cost incurred which related to merger activity             70,000.00 21,400,000 500,000      
Transaction cost capitalized               15,700,000        
Transaction cost recognized as expense related to merger activity               5,700,000        
Transaction cost incurred which related to carve out preparation               2,400,000   2,400,000    
Transaction cost incurred which related to carve out preparation prior fiscal period                 1,900,000      
Transaction cost incurred which related to carve out preparation current fiscal period               500,000        
Transaction cost incurred which related to impact to statement of operations               8,600,000        
Transaction cost recognized as expense related to carve out preparation               6,200,000        
Transaction cost recognized as expense excluding carve out preparation and merger activity         0   400,000          
Due to related parties from reimbursement for payroll expenses and insurance         1,005,372     1,005,372        
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                
Selling, General and Administrative Expenses                        
Related Party Transaction [Line Items]                        
Allocated corporate costs (income)         265,747   515,353 988,198 1,272,764      
Master Service Agreement [Member]                        
Related Party Transaction [Line Items]                        
Related party transaction expenses               11,254,372 26,919,670      
Outstanding related party payable         11,339,145     11,339,145        
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               236,889 528,597      
Outstanding related party payable         235,199     235,199        
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                    
ZANITE ACQUISITION CORP [Member]                        
Related Party Transaction [Line Items]                        
Transaction cost recognized as expense related to carve out preparation                   6,200,000    
ERJ [Member]                        
Related Party Transaction [Line Items]                        
Proceeds from contributed capital     $ 15,000,000                  
ERJ                        
Related Party Transaction [Line Items]                        
Outstanding related party payable         10,844,624 0   10,844,624   0    
Outstanding related party receivable         205,358 220,000   205,358   220,000    
ERJ | 2022 stock Incentive Plan                        
Related Party Transaction [Line Items]                        
Outstanding related party receivable         190,518     190,518        
ERJ | Selling, General and Administrative Expenses                        
Related Party Transaction [Line Items]                        
Capital contribution       $ 15,000,000                
Allocated corporate costs (income)         338,523   $ 3,321,308 1,624,245 $ 7,909,182      
Atech [Member]                        
Related Party Transaction [Line Items]                        
Outstanding related party payable         920,098 0   920,098   0    
Outstanding related party receivable         0 0   0   0    
Atech [Member] | Shared Service Agreement [Member]                        
Related Party Transaction [Line Items]                        
Period of service agreement term   15 years                    
Embraer Aircraft Holding Inc [Member]                        
Related Party Transaction [Line Items]                        
Outstanding related party payable         2,276,908 8,642,340   2,276,908   8,642,340    
Amounts payable         1,271,535     1,271,535        
Outstanding related party receivable         81,638,146 0   81,638,146   0    
Due from related party and accrued interest amount         81,638,146     81,638,146        
Embraer Aircraft Holding Inc [Member] | Loan Agreement [Member]                        
Related Party Transaction [Line Items]                        
Debt instrument face value $ 81,000,000                      
Debt instrument interest rate stated percentage 4.89%                      
Debt instrument maturity date Aug. 01, 2023                      
Other Related Parties [Member]                        
Related Party Transaction [Line Items]                        
Outstanding related party payable         352,710 0   352,710   0    
Outstanding related party receivable         $ 0 $ 0   $ 0   $ 0