It depends. You will file a South Carolina part-year tax return for the six months you lived in SC in 2025 and will claim the income you earned while living there.
If you did not earn any income while you lived in New York and did not have any NY-source income during the year, you probably do not need to file a 2025 NY part-year tax return.
Here is an article from the NY Department of Tax and Finance that discusses the filing requirement for part-year residents.
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