The last post is correct. Under Georgia law, an employee cannot waive his/her right to apply for unemployment insurance benefits. See O.C.G.A. 34-8-250 ("Any agreement by an individual to waive, release, or commute his rights to benefits or any other rights under this chapter shall be void.")
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Receiving severance pay will not impact "the reason" for your separation from employment with your employer. The separation was involuntary. Be aware, however, that the amount of severance and duration of the payments of severance may affect the overall amount of unemployment compensation that you might receive.
Take your DOL-800 form to the Georgia Department of Labor and file your claim.