I entered a remote work agreement with my company and moved from New York to Georgia. I paid taxes in both states after moving. The company is headquartered in Texas with a satellite office in New York, but my employment is not specific to that satellite office after becoming a remote worker.
First, let's determine if your remote work is taxable to NY. See Is my remote income taxable in New York State? It could be that only the income earned while living in NY is taxable to NY.
Second, enter your part-year resident return. See How to enter New York State income as a part-year resident or a non-resident of New York State with New York source income in TurboTax.
After your move, if your "assigned or primary work location" was no longer in New York State, then the income earned remotely from your new resident state of Georgia would not be subject to New York state income tax.