I don't know about that state but the locals in PA tried to regulate hunting, were challenged and lost. Hunting regulations are a state controlled matter. If one thinks about it, the leftists/vegan/whack jobs in power of each municipality could effectively ban hunting.
Not a lawyer but I did stay in a Holiday Inn a couple times. This municipality doesn't have a leg to stand on. They'll just waste taxpayer money defending ANY rule they try and enact.
2010 Georgia Code
TITLE 27 - GAME AND FISH
CHAPTER 1 - GENERAL PROVISIONS
§ 27-1-3 - Legislative declarations; ownership and custody of wildlife; preservation of hunting and fishing opportunities; promotion and right to hunt, trap, or fish; local regulation; general offenses
(b) The ownership of, jurisdiction over, and control of all wildlife, as defined in this title, are declared to be in the State of Georgia, in its sovereign capacity, to be controlled, regulated, and disposed of in accordance with this title. Wildlife is held in trust by the state for the benefit of its citizens and shall not be reduced to private ownership except as specifically provided for in this title. All wildlife of the State of Georgia is declared to be within the custody of the department for purposes of management and regulation in accordance with this title.
Full text here:
https://law.justia.com/codes/georgia/2010/title-27/chapter-1/27-1-3/