Is there a joker card?

Technically, yes if you live in an area that has the right weather you technically could keep them that way.

However pigeons are domesticated. And happily live in a coop. Most parrots are not going to live in something like that. Instinct will drive them to go make a nest. You would have a few that hang around for food but most would just fly off at some point.

Sorry no. Stop trying to make wild animals pets. They are not domesticated and never will be. You can literally never get the animal the exercise it needs. Wild parrots fly hundreds of miles a day and live in colonies of hundreds if not thousands of other parrots. How do you think you can possibly recreate any of that in your house? You claim to love a wild animal then keep it in captivity. Your arguments are the exact ones used to justify keeping chimps and tigers as pets. These animals will always be better off outside not in your house.

Not at all. I had a rescue parrot and you are doing them no favors. My dude was too old to get rehabbed for release so we just made his life as best as possible till he passed at 68. Parrots need constant companionship and stimulation. They get depressed, angry, and even psychotic living in captivity. Their lungs don't even function at 100% without flying most of the day. The same muscles that help them fly help them breathe. If you really love parrots leave them in the wild.