Can I replace 15 amp outlets with 20 amp outlets to run a new 20 amp circuit for my portable AC unit, considering the aluminum wiring in my house?

Hey electricians, I need some advice. Last summer, during a heat wave, I got a portable A/C unit that keeps tripping the 15 amp circuits I’ve tried it on. I’m considering adding a 20 amp circuit for it, but I’m also in the process of replacing the aluminum wiring in my house. The new 20 amp circuit with 12/2 cable would run past some 15 amp outlets (freezer, lamp, TV) on aluminum wiring. Can I replace those outlets with 20 amp ones and add them to the same circuit as the portable A/C? Thanks for any help!