Since you lived and worked in PA and are not a dependent on someone's return you will file a NY non-resident return and allocate zero income to NY. This will net a refund of the taxes withheld by NY shown on your W2.
In TurboTax in the "My Info" section, indicate PA is your resident state. "Continue" and then scroll down to the "Other State Income" topic. There you will indicate you earned money in another state and select NY from the dropdown list. This will generate the NY non-resident return.
After entering the W2 information and completing any deductions/credits topics that apply to you in the federal interview, you will eventually arrive at the state interviews. Complete the NY interview. Be sure to allocate zero income to NY throughout the interview.
Then complete your PA resident interview.
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