Based on my experience, it’s hard to get relatively cool fresh air. It just seems to pick up heat regardless of what you try to fix.
I tried a vacuum-operated heater bypass valve - stopped water flow and helped cool it down a little, but water in heater core was still warm.
Also remove the glove box and take off the plastic plenum panel behind it so you can see into the heater box. There is supposed to be foam insulation so that the inside doors seal better, but it has usually fallen apart. It’s also very common for something to fall down the defroster vent and then block full travel of the doors. Pens, small bolts, match books, etc. will cause problems. The heat control door is cable operated (like the picture in previous posts), but there is also a vacuum operated door that changes air flow.