Unknown Gray Bar Link, It's linked to the bottom of the radiator and goes into the firewa Options

[BlackRa1n21]

7afe Engine, 5 speed, Coupe/Fastback

I've had my new Celica for about 2 months now and very happy with it. The ac works perfect and all but I notice it leaks into the passenger side carpet until there's no more coolant and the car ends up overheating, only when the ac is on. I had a mechanic by pass the heater core and plugged the two hoses back at each other and it's still leaking after a month, just not as much. He told me it could be the extra run off water left in the heater core but just recently I checked the radiator and it looks empty.

I was wondering what is the gray bar that's link to the bottom of the radiator on the passenger side going through a pulley and to the top of the bay and running along the whole passenger bay side into the firewall?? I think that's the reason my passenger side is still leaking despite the heater by pass. TIA

Note* car lasted 2 weeks after purchase with ac on every day, I drive like 100+ miles a day. Coolant ran out and it overheated causing hoses behind the water pump to expand and leak outside the water pump(fixed by tightening hoses). For anyone else having this leakage when the car overheats, my mechanic said small problems tend to show when big problems happen, almost paid $500 to replace my waterpump lol.

[Bitter]

AC lines?