If none of the income belongs to GA, enter the full amount in the ''other state'' box. TurboTax will transfer all of your income to a non-resident return so you can tell TurboTax which income does not belong there. You can change the numbers on the interview screen.
See example below - There was $31,935 of gains and losses on the federal return but only $5K was GA sourced. You would edit both fields. If you look at the GA Income and Retirement Worksheet, you see only the GA amount reported on the GA return.

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