Hey sorry for the late reply!
It seems like the game have some kind of fixed path for the animal, the peafowl always fly down from the third steps of the main stair when trying to get down from the central stage. They always repeat the flying when getting down so I'm able to capture it. I guess creating an elevated platform may get your peafowl to fly.
On the contrary, for some reason I couldn't get them to open their feather on stage, they always only doing it at the backstage...not sure how the behavior system work really lol
Am interested to see the show you create, please share when it is done!