Lived in GA, But Employer Took Out NY State Taxes For 1 Month

I worked for an employer for two total months in 2024.

 

For one month, they took out NY state taxes, even though I live in GA.

 

For the second month, they took out GA taxes, and no NY taxes.

 

How do I go about getting my NY state taxes I paid refunded to me through the Turbo Tax Free online filing system? Right now, it looks like it's going to refund me the $287 I paid to NY, but it's still telling me I owe $370 to GA, which doesn't seem right.

 

What am I doing wrong?