One common test is the famous “mirror test” where an animal is given some problem that can only be solved by using its own reflection in a mirror for reference, such as a study involving an Australian ant. They put a blue dot made of felt (I think) on the ant’s head behind the antennae, and watched the ant clean itself once it saw that it’s reflection had a weird blue thing on its head. But I don’t know if there are other tests for “self awareness”
The entire album Symbol by Susumu Yokota might hit the right nerve, though it’s heavier on the dreamlike side and doesn’t have lyrics. I use it for driving, writing, anything that needs a kind of hypnotized but functional state of mind.