In order to receive a refund of incorrectly withheld NY taxes, you must submit a non-resident NY tax return, showing zero NY income.
Note that if you were a remote worker for a NY employer, NY will consider your income taxable unless you worked remotely out of necessity of the employer, even if you are no longer a NY resident.
Also note that NY considers you a resident for tax purposes if your domicile is still in NY. See this for details on that: https://www.tax.ny.gov/pit/file/pit_definitions.htm#:~:text=Resident,for%20income%20tax%20purposes%2...
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
