With my pair the female passes the mirror test, and has as long as I've had her. The male didn't when I got him, but he does now. She seems to have taught him about his reflection.

And definitely go for a big cage. My pair is in a 2'x2'x4' cage, and I feel it's probably too small for them. They spend their days outside of it, of course. And I only clip their wings when I need to travel with them (moving from one house to another).

Don't overfeed seed. Pelleted foods are a good base, but provide fresh fruit & vegetables daily.