It was a great episode, hkwever, turkeys are actually very strong fliers... however, not so much domestic turkeys who may have had wings clipped, or been penned up their whole liv3s.
Wild turkeys aren’t such great fliers either. My dogs and I stumbled upon a group of them nesting on the property several years ago by the river, which caused them to take panicked flight. Two flew into a cliff and rolled to the bottom, one flew right into a tree and knocked himself out for a few seconds. The other four got away, but they didn’t fly very far.