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Income Taxes - Components of Deferred Tax (Liabilities) Assets (Details) - USD ($) $ in Thousands | Jul. 02, 2023 | Jul. 03, 2022
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Income Tax Disclosure [Abstract] |  |
Unrecognized pension and postretirement benefit plan liabilities | $ 368 | $ 579
Accrued warranty | 2,255 | 423
Payroll-related accruals | 4,094 | 3,085
Research and development costs | 5,541 |
Capital loss carryforward related to sale of interest in VAST LLC | 1,403 |
Stock-based compensation | 414 | 360
Inventory reserve | 1,633 | 1,010
Environmental reserve | 327 | 327
Repair and maintenance supply parts reserve | 222 | 222
Allowance for doubtful accounts | 118 | 118
Lease Liability | 1,049 | 710
Right of Use Assets | (1,049) | (710)
Credit carry-forwards | 1,628 | 2,986
Postretirement obligations | 64 | 8
Accumulated depreciation | (4,387) | (3,886)
Accrued pension obligations | 415 | 504
Joint ventures | 47 | 899
Other | 1,078 | 604
Gross | 15,220 | 7,239
Valuation allowance | (1,601) | (158)
Net deferred tax assets | $ 13,619 | $ 7,081

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