You can't claim these taxes on your state return.
According to the Worksheet for Other State(s) Tax Credit in Georgia's IT-511 Individual Income Tax Booklet:
Georgia allows a credit for tax paid to another state on income taxable to Georgia and the other state. Use these worksheets to compute the other state(s) tax credit for full-year and part-year residents. Do not file these worksheets with your return. Keep them for your records.
Enter the Total Tax Credit on Form 500 Line 18. Include a copy of tax return(s) filed with other state(s). The credit is for state (including Washington DC) and U.S. local income tax only. The tax must have been imposed on net income. No other income taxes such as foreign local, foreign city, foreign province, foreign country, U.S. Possession, etc., qualify for this credit.
[Bolding mine.]
@theforeigninvestor
