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Long-Term Debt - Additional Information (Details)
 1 Months Ended 3 Months Ended 12 Months Ended
Oct. 28, 2022
USD ($)
Oct. 27, 2022
USD ($)
May 31, 2021
Payment
Jan. 01, 2023
USD ($)
Jul. 02, 2023
USD ($)
Jul. 03, 2022
USD ($)
Debt Instrument [Line Items]            
Finance lease obligations         $ 5,629,000 $ 2,493,000
Construction financing [1]         1,632,000 $ 729,000
Construction Financing [Member]            
Debt Instrument [Line Items]            
Monthly payment | Payment     60      
Construction financing         1,632,000  
Long term debt including transitioned amount         9,755,000  
Completed asset cost transferred to finance lease obligation         $ 8,123,000  
Minimum [Member]            
Debt Instrument [Line Items]            
Line of credit facility, unused capacity, commitment fee percentage         0.25%  
Finance lease discount rate         4.40% 3.00%
Maximum [Member]            
Debt Instrument [Line Items]            
Finance lease discount rate         6.20% 4.40%
SOFR [Member] | Construction Financing [Member]            
Debt Instrument [Line Items]            
Debt instrument, basis spread on variable rate     1.25%      
SOFR [Member] | Minimum [Member] | Construction Financing [Member]            
Debt Instrument [Line Items]            
Interest rate during period     1.00%      
SOFR [Member] | Maximum [Member] | Construction Financing [Member]            
Debt Instrument [Line Items]            
Interest rate during period     1.20%      
ABL Facility [Member]            
Debt Instrument [Line Items]            
Foreign capital stock, maximum voting stock of first tier foreign subsidiaries         65.00%  
ABL Revolver [Member] | Base Rate [Member] | Minimum [Member]            
Debt Instrument [Line Items]            
Debt instrument, basis spread on variable rate 0.75%          
ABL Revolver [Member] | Base Rate [Member] | Maximum [Member]            
Debt Instrument [Line Items]            
Debt instrument, basis spread on variable rate 0.25%          
ABL Revolver [Member] | SOFR [Member] | Minimum [Member]            
Debt Instrument [Line Items]            
Debt instrument, basis spread on variable rate 1.75%          
ABL Revolver [Member] | SOFR [Member] | Maximum [Member]            
Debt Instrument [Line Items]            
Debt instrument, basis spread on variable rate 1.25%          
A B L Term Loan [Member]            
Debt Instrument [Line Items]            
Principal amount of term loan         $ 110,400,000 $ 65,000,000
Debt agreement maximum borrowing capacity         $ 2,300,000  
Credit Agreement [Member] | ABL Facility [Member]            
Debt Instrument [Line Items]            
Debt agreement maximum borrowing capacity $ 230,000,000 $ 200,000,000        
Debt instrument maturity date Oct. 28, 2027 Dec. 18, 2023        
Principal amount of term loan $ 115,000,000 $ 100,000,000        
Loss on extinguishment of debt       $ (273,000)    
Minimum monthly fixed charge coverage ratio covenant         1.05  
Credit Agreement [Member] | Revolving Credit Facility [Member] | ABL Facility [Member]            
Debt Instrument [Line Items]            
Line of credit facility, maximum borrowing capacity $ 115,000,000 $ 100,000,000        
Credit Agreement [Member] | Revolving Credit Facility [Member] | ABL Facility [Member] | Trigger Level [Member]            
Debt Instrument [Line Items]            
Line of credit facility, remaining borrowing capacity         $ 22,540,000  
[1] Refer to the discussion below under the subheading “Construction Financing” for further information.