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most domesticated breeds cannot fly. They can flutter around a bit and get a few feet off the ground. Smaller breeds like calls can fly and muscovies can fly.
My Khaki Campbell can fly like a Mallard,my Rouen....a few feet, my Pekin.....well, he'd have to have wings the size of a Cessna to get his fat butt off the ground.
I have Blue Swedish and Cayuga (2 hens of each), and while my Blue Swedish girls are a bit more "fluffy" than the Cayugas, not a one of the four could fly any more than I could.
So at least in my experience, you'd certainly be safe with either of those breeds staying put.