There are multiple reasons for overheating including by not limited to:
Overheating or air trapped in cooling system.
Buy a thermostat and install it.
Is the secondary radiator fan coming on when the AC is turned on?
Will a 1998 Toyota Camry motor fit in a 1999 Toyota Camry
The air conditioner will not cool the engine. On the contrary, the a/c will put more load on the engine and make it overheat sooner. You need to pony up and get the water pump repaired before any major damage is caused by overheating.
Defective water pump.
overheating
Bad thermostat maybe?
Toyota Camry was created in 1982.
It can be a sticky caliper or you need to change brake pads.
Toyota Camry Toyota Camry
where is the thermostat on a 1996 Toyota Camry