With an NVidya card

No the outside air is used to cool down the coolant. It won’t be released indoors. The high pressure coolant is hotter than the outside air and thus the air is able to absorb the heat out of the pipes.

Then the coolant goes to the radiator where it expands and turns cold. This is where the inside air moves trough the radiator to cool the room. The two airflows won’t interact. This is why ACs with two pipes are better than ACs with only an exhaust. Since in those the AC sucks air out of the room to cool the coolant and dumps it outside. And thus the pressure will drop in the room and air from outside the room will be sucked inside.