The Virginia program does include form 763-S, Special Nonresident Claim for Individual Income Tax Withheld.
Form 763-S
• Used by nonresidents to claim a refund of Virginia tax withheld if not required to file
You can download the form here: https://www.tax.virginia.gov/sites/default/files/taxforms/individual-income-tax/2023/763-s-2023.pdf
Answers are correct to the best of my ability but do not constitute legal or tax advice.
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