My Talking Budgie likes to talk with the mirror. Try playing this for your budgerigar or maybe your parrot, and see what happens.
He likes to chat with a computer mouse too.
Should i have a mirror in my budgie cage?
The reason it would reduce the chance of it repeating human phrases/words is because it would get attached to the mirror. Seeing their reflection makes them think that there is a second budgie in the cage, & will begin to ignore you. Therefore, it makes it difficult to teach them tricks, or even handle them without them trying to escape to their cage again, where the mirror is.