One of our foster dogs would bark and growl at dogs on TV. I am pretty sure she would have interacted with them if the TV dogs would have responded to her.

Why wouldn't they? Humans can recognize black and white images on a 1960s-era videophone prototype as another human they are interacting with in real-time, and it's not like parrots have any significant difficulty recognizing other parrots in general.

“Birds don’t see well on the old-fashioned CRT screens—their flicker fusion rate is much faster than ours” https://news.northeastern.edu/2023/04/28/magazine/cockatoo-p...

Passing the mirror test is pretty rare in the animal world (https://en.wikipedia.org/wiki/Mirror_test). Birds aren't widely good at it. They may have similar challenges in tying a depiction of something to the 3D physical real object.

Must be how their visual system works. My bearded dragon generally didn’t have great eyesight but he would immediately attack when he saw himself in a mirror.