Framing, drywall, roofing, flooring, cabinets, furniture, and general cleanout junk are all fine. The limits come from Georgia's disposal rules and from what the county station will take at the scale.
Georgia keeps yard trimmings out of the landfills that receive household and construction debris. The state's yard trimmings rule requires grass, leaves, limbs, and brush to be separated from other waste, and the ban covers lined municipal landfills and construction and demolition landfills alike. Keep that material in its own load.
Liquids are out as well. The Georgia Environmental Protection Division's household hazardous waste guidance states that putting liquids in the trash is not allowed, which rules out leftover paint, solvents, fuel, used oil, and pool chemicals. Asbestos, batteries, and pressurized cylinders stay out too.
Scrap tires have their own system. The state runs them through permitted tire carriers and processors, so tires come out of the container and go separately, and the county station bills them per tire.
Not sure about one odd item? Ask your account manager before it goes over the rail, because one wrong piece can hold up a whole load.