While they can “jump” impressively, they are always back on the ground within one second.
I’ve never seen one actually fly. They’re just too fat.
Actually, they’re pretty strong fliers. The one I scared into flight went straight up vertically about twenty feet. They roost in treetops; I’ve seen them at sunset flying up to roost.
Like walking, feathered Zeppelins.
https://www.thespruce.com/what-do-turkeys-eat-386553
Sacramento is known as “The City of Trees”. It’s an urban forest the likes of which you don’t often encounter.
Only Paris has more trees within the city limits.
And at least half of our trees are Valley Oak, with some of the big ones dropping a thousand pounds of acorns every year.
While hiking, I found one sitting on a fence rail last weekend, about 6 feet off the ground. That shocked me because, as you say, you never see them fly. When I got near, he jumped / fluttered to the ground. More like a rock falling through the air than flying.
That will get your heart rate up.