Yes. You are only eligible for a credit on double-taxed income if you pay New York tax on your income. If you receive a full refund of NY tax withheld, then you paid no tax to New York, so none of your income was double-taxed.
If you are constantly filing a New York nonresident return to get a full refund, contact your employer to stop NY withholding. Or, you may be doing things incorrectly and should be paying NY tax.
@angiecaracely
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