updating State Tax Withholding on W2

 

As I will have nothing to do with NY anymore after my move and my income is not NY-sourced anymore, what's the implication of having an NY Tax Withholding on my W2?

 

Will I be able to file NY State Tax form and get the refund? I've read some articles and saw the form is rejected when someone put $0 for NY sourced income and the total amount withheld for NY.