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Stock-Based Compensation Plans - Additional Information (Detail) - USD ($)
 3 Months Ended 6 Months Ended
Nov. 02, 2023
Dec. 28, 2023
Dec. 28, 2023
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Expected weighted average recognize period of unrecognized compensation cost related to non-vested share-based compensation     1 year 8 months 12 days
Amount that may be paid to any participant for awards payable in cash or property other than Common Stock     $ 5,000
Maximum number of shares that may be awarded to participant in one calendar year 250,000    
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period [1]     56,168
Unrecognized compensation expense related to non-vested share-based compensation   $ 6,763,000 $ 6,763,000
2023 Omnibus Plan [Member]      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Common stock authorized for grants of awards under equity incentive plan 747,065    
Maximum number of stock options or stock appreciation rights awarded to an individual 500,000    
Restricted Stock Units (RSUs) [Member]      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Restricted stock units vested     26,653
Restricted Stock Units (RSUs) [Member] | Employees and Non Employee [Member]      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period   56,168  
[1] The number of RSUs granted includes 8,031 RSUs with performance conditions for which the performance criteria had yet to be achieved. The final number of shares that will eventually be earned and vest has not yet been determined.