Generally, you owe tax to the state where you live and to the state(s) where you physically work. However, your employer took out GA taxes because you probably did not tell them not to.
To address this, you will file a GA nonresident return to recover your withholding and a NC resident return. Do your GA return first in TurboTax.
You should immediately ask your employer to stop withholding GA taxes on the grounds that you have no GA source income (because you aren't physically working there). You can ask your employer if they will withhold NC taxes for you but they may not be willing to.
In this case, you will need to make estimated tax payments quarterly to NC to avoid an underpayment of estimated tax penalty.
Questions?
@Krossbow
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