Yes, you will have to file a Georgia nonresident tax return and report zero income to get your withholding refunded. If you have not already done so, contact DFAS t correct your withholding to show the correct Home of Record. You would be required to file as California nonresident if you have California source income- which includes your interest, dividend and Capital Gains. The interest, Dividends and capital gains would not be taxable to Georgia. See Military | FTB.ca.gov.
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