It shall be unlawful for any person to possess any center-fire or rimfire firearm other than a handgun, as such term is defined in Code Section 16-11-125.1, while hunting with a bow and arrow during archery or primitive weapons season for deer or while hunting with a muzzleloading firearm during a primitive weapons season for deer or to possess a loaded handgun while hunting with a bow and arrow during archery or primitive weapons season for deer or while hunting with a muzzleloading firearm during primitive weapons season for deer unless such person possesses a valid weapons carry license issued pursuant to Code Section 16-11-129.