The money you earn from work actually performed in New York State is NY-source income and is taxable by New York State. https://www.tax.ny.gov/pubs_and_bulls/tg_bulletins/pit/ny_source_income_nonresident.htm
It is also taxable by your home state of ID.
This reference will explain whether or not you are required to file a NY non-resident tax return: https://www.tax.ny.gov/pit/file/nonresidents.htm
If you do meet the threshold for filing in NY, then in TurboTax be sure to complete the non-resident NY return before you do your home state ID return. That way you will receive credit on the ID return for taxes paid to NY.