Georgia law lets a private employer prefer honorably discharged veterans who served on active duty when hiring, promoting, or deciding who to keep during a reduction in force. The employer’s policy has to be in writing and applied consistently. It is an option for employers, not a requirement.
There is nothing to file with the state. Ask a prospective employer whether they have a written veterans’ preference policy, and mention your veteran status when you apply.
Your DD214 showing active duty service and an honorable discharge.