I was surprised but from the 2020-2021 Hunting Seasons and Regulations, page 12 & 14:It's certainly not a firearm.
But, it's also not an approved weapon for deer hunting.
In the eyes of the law, it would be like you hunted deer with a baseball bat,
or dug a pit trap for the animal.
Hunting it is only legal when you use the approved weapons,
and I don't think Georgia has changed its rules to allow for deer hunting with airguns.
DEER & BEAR
• Modern Rifles and Handguns: Centerfire only, .22-cal. or larger with
expanding bullets. There is no restriction on magazine capacity for rifles.
• Shotguns: 20-gauge or larger loaded with slugs or buckshot.
• Muzzleloaders: .44-cal. or larger, or muzzleloading
shotguns 20 gauge or larger. Scopes
are legal.
• Air Guns: Any air rifle of at least .30 caliber
or air bow utilizing unignited compressed
gas or air is legal during primitive weapons
and firearms seasons.
That is actually the reason why started reading this thread.