You are correct; the payments for your COBRA premiums do not apply to the Georgia HDHP deduction.
You are allowed to use your HSA to pay for health care premiums when you have COBRA; however, since the dollars in your HSA are already tax-advantaged, you can't use them on the Georgia return this way. You already got the tax benefit in Georgia in the year you made the HSA contributions that eventually paid for the HDHP premiums, and the HSA contributions flowed through to the Georgia return as a reduction to federal adjusted gross income.
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