answer:Typically your air conditioning and your cooling systems are separate. It sounds to me like you have two different problems. I’ve never seen air conditioning go out that caused a cooling system problem. I have seen heat go out because of a heater core (cooling system) problem but never air conditioning. I’m assuming you’ve checked your coolant levels to make sure they are up to the rim in the radiator? Any time there’s a cooling problem in any of my cars that isn’t an obvious outpouring of water, I replace the thermostat because it’s cheap and easy to replace. Sometimes they get stuck open or closed and the engine overheats because the cheap little part has gone bad. It sounds like you are leaking both coolant and freon. That would be my first guess. That’s why the recharge on your air conditioning didn’t last that long. They should have found the freon leak and fixed it. On the cooling system, there should only be a couple of questions. Are you loosing coolant? If so, where is it going? If not, what part in the (engine) cooling system has gone bad?