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Per this excerpt from the Virginia Administrative code, there is a three year statute of limitation on individual income tax overpayments. I believe you are referring to the tax year of 2021 which was due in 2022. So you will probably receive your refund if you file the 2024 return on time:

However, your unique situation is not easy to research by reference to readily available tax guides, so it is advisable that you contact the Virginia Department of Taxation to get better clarity on the matter. You can find their contact information here:

Virginia Department of Taxation