If you have the car on a lift the vertical test won't work. The Aveo has a "floating" suspension. It's probably not struts or the steering rack, but all the other things mentioned are possible causes.
It's probably wheel and tire related, and since that is easiest to check, do that first. Switch the wheels from the front onto the rear. If the condition improves or goes away you will know it is wheel and/or tire related.
I'd get rid of that bent rim if I were you. Spare wheels should be easily found in junkyards for cheap.![]()