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Income Taxes - Additional Information (Details) - USD ($)
 3 Months Ended 12 Months Ended
Oct. 01, 2023
Jun. 30, 2024
Jul. 02, 2023
Jul. 03, 2022
Income Taxes [Line Items]        
Tax benefit   $ (103,000)    
Valuation allowance   55,250,000 $ 43,910,000 $ 31,667,000
Capital loss carryforwards   $ 16,442,000 16,390,000  
Net operating loss carryforwards beginning expiration year   2025    
U.S federal research tax credit carryforwards   $ 7,847,000    
U.S. federal research tax credit carryforwards expiration year 2025      
Open tax year   2019 2020 2021 2022 2023    
Amount of Unrecognized Deferred Tax Liability   $ 10,906,000    
U.S. federal interest Carry forward   3,939,000    
Income taxes, refund   5,758,000 6,069,000 13,045,000
Benefit of related penalties and interest   $ 853,000    
Internal Revenue Service [Member]        
Income Taxes [Line Items]        
Open tax year   2021 2022 2023    
Income taxes, refund   $ 1,275,000    
Interest on income tax overpayments   457,000    
Penalty or interest assessed by IRS   0    
Capital Loss Carryforward        
Income Taxes [Line Items]        
Capital loss carryforwards   16,442,000    
U.S. Federal NOL [Member]        
Income Taxes [Line Items]        
U.S federal net operating loss carryforwards   $ 14,378,000    
Open tax year   2014 2015 2016 2017 2018 2019    
U.S. Federal Foreign Tax Credits [Member]        
Income Taxes [Line Items]        
Net operating loss carryforwards beginning expiration year   2028    
U.S federal net operating loss carry a full valuation allowance   $ 152,000    
U.S. State NOL Carryforwards [Member]        
Income Taxes [Line Items]        
Capital loss carryforwards   4,082,000    
Foreign Tax Credits [Member]        
Income Taxes [Line Items]        
Valuation allowance   558,000    
U.S federal net operating loss carry a full valuation allowance   3,003,000    
Earliest Tax Year [Member]        
Income Taxes [Line Items]        
State deferred tax expense component, utilization of net operating loss carryforwards   0 109,000 25,000
Foreign deferred tax expense component, utilization of net operating loss carryforwards   896,000 166,000 32,000
Valuation allowance, deferred tax asset, increase (decrease), amount   11,340,000 12,243,000 (5,313,000)
Unrecognized tax benefits that would impact effective tax rate   1,406,000    
Unrecognized tax (benefits) expense, income tax penalties and interest expense   (657,000) 400,000 287,000
Unrecognized tax benefits, income tax penalties and interest accrued   302,000 959,000 559,000
Unremitted foreign earnings   41,644,000    
U.S. Federal [Member]        
Income Taxes [Line Items]        
Net operating loss   0 $ 200,000 $ 110,000
Net Operating Loss Held Outside U.S Consolidated Tax Filing Group [Member]        
Income Taxes [Line Items]        
U.S state net operating loss carryforwards   $ 519,000    
Net operating loss carryforwards beginning expiration year   2028    
Net Operating Loss Held Outside U.S Consolidated Tax Filing Group [Member] | U.S. Federal NOL [Member]        
Income Taxes [Line Items]        
U.S federal net operating loss carryforwards   $ 319,000    
Foreign Net Operating Loss Carry Forwards [Member]        
Income Taxes [Line Items]        
U.S federal net operating loss carry a full valuation allowance   $ 3,053,000    
State and Local Jurisdiction [Member] | North Carolina Department of Revenue [Member]        
Income Taxes [Line Items]        
Open tax year   2020