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Long-Term Debt, Finance Leases, and Other Borrowings - Additional Information (Detail)
 2 Months Ended 12 Months Ended
Nov. 23, 2024
Jan. 11, 2024
USD ($)
Sep. 06, 2023
USD ($)
Dec. 27, 2022
USD ($)
Oct. 30, 2020
USD ($)
$ / shares
shares
Nov. 22, 2024
Sep. 30, 2024
USD ($)
$ / shares
Jul. 16, 2024
USD ($)
Sep. 30, 2023
USD ($)
Nov. 14, 2020
USD ($)
Nov. 13, 2020
USD ($)
Debt Instrument [Line Items]                      
Property and equipment, net             $ 426,351,000   $ 698,022,000    
Long-Term Debt             310,271,000   528,278,000    
Debt outstanding             $ 315,210,000   $ 538,274,000    
Warrants of common stock exercise price | $ / shares             $ 3.98        
Principal payments             $ 23,300,000        
Treasury Loan [Member]                      
Debt Instrument [Line Items]                      
Debt outstanding             113,700,000        
Principal payments             25,400,000        
Treasury Loan [Member] | Subsequent Event [Member]                      
Debt Instrument [Line Items]                      
Minimum collateral coverage ratio covenant 1.55         1.44          
Treasury Loan [Member] | Maximum [Member]                      
Debt Instrument [Line Items]                      
Calculated collateral coverage ratio         1.55            
Treasury Loan [Member] | Minimum [Member]                      
Debt Instrument [Line Items]                      
Additional collateral coverage ratio         1.55            
Loan Agreement [Member]                      
Debt Instrument [Line Items]                      
Secured term loan facility, amount borrowed         $ 43,000,000            
Secured term loan facility, additional amount borrowed                     $ 152,000,000
Warrants to purchase shares of common stock | shares         4,899,497            
Warrants of common stock exercise price | $ / shares         $ 3.98            
Debt issuance costs allocated to warrants             100,000        
Loan Agreement [Member] | EDC Loans [Member]                      
Debt Instrument [Line Items]                      
Debt issuance costs                     3,100,000
Loan Agreement [Member] | FortyThreeMillionTreasuryLoanMember                      
Debt Instrument [Line Items]                      
Capitalized debt issuance costs, net         $ 700,000            
Loan Agreement [Member] | $152M Treasury Loan [Member]                      
Debt Instrument [Line Items]                      
Capitalized debt issuance costs, net                     2,300,000
Revolving Credit Facility [Member]                      
Debt Instrument [Line Items]                      
Repayments of long term debt   $ 2,100,000                  
Permitted amount to redraw from existing credit facility     $ 7,900,000                
Revolving Credit Facility [Member] | Maximum [Member]                      
Debt Instrument [Line Items]                      
Revolving commitments     50,700,000                
Revolving Credit Facility [Member] | Minimum [Member]                      
Debt Instrument [Line Items]                      
Revolving commitments     $ 30,700,000                
Equipment Notes [Member]                      
Debt Instrument [Line Items]                      
Long-Term Debt             $ 85,500,000        
Secured Term Loan Facility [Member] | Loan Agreement [Member]                      
Debt Instrument [Line Items]                      
Secured term loan facility, maximum borrowing capacity         200,000,000            
Secured Term Loan Facility [Member] | Loan Agreement [Member] | Treasury Loan [Member]                      
Debt Instrument [Line Items]                      
Secured term loan facility, amount borrowed         $ 43,000,000            
Secured term loan facility, additional amount borrowed                   $ 0 $ 152,000,000
Debt instrument, maturity date         Oct. 30, 2025            
Long term debt, basis spread on variable rate         3.50%            
United Capacity Purchase Agreement [Member]                      
Debt Instrument [Line Items]                      
Repayments of long term debt   $ 10,500,000                  
Minimum liquidity requirement of cash and cash equivalents               $ 15,000,000      
United Capacity Purchase Agreement [Member] | United [Member]                      
Debt Instrument [Line Items]                      
Percentage of controllable completion factor             99.30%        
United Capacity Purchase Agreement [Member] | Revolving Credit Facility [Member]                      
Debt Instrument [Line Items]                      
Repayments of lines of credit             $ 10,500,000        
Long term debt, basis spread on variable rate     3.50% 3.50%              
Revolving loan       $ 10,500,000              
Revolving commitments       30,700,000              
Covenant capping restricted payments       $ 5,000,000              
Rental coverage ratio       1              
United Capacity Purchase Agreement [Member] | Revolving Credit Facility [Member] | SOFR [Member]                      
Debt Instrument [Line Items]                      
Long term debt, basis spread on variable rate     4.50% 4.50%              
United Capacity Purchase Agreement [Member] | Revolving Credit Facility [Member] | United [Member]                      
Debt Instrument [Line Items]                      
Amount funded by company             25,500,000        
Additional prepayment with potential forgiveness             15,000,000        
Deemed prepayment, outstanding             4,500,000        
United Capacity Purchase Agreement [Member] | Revolving Credit Facility [Member] | Minimum [Member]                      
Debt Instrument [Line Items]                      
Amount required       $ 15,000,000              
Aircraft and Equipment [Member] | Pledged as Collateral [Member]                      
Debt Instrument [Line Items]                      
Property and equipment, net             $ 438,400,000