Deed restrictions are mostly uniform and universally applied. For every house I have owned, including the one I live in now, in the woods on six acres, farm animals of any type are forbidden.
Yes, some people get away with raising chickens or other farm type animals. But with the restrictions an angry neighbor can exercise the power of the state on you at any time.
On six acres, prohibiting a few yard birds is absurd.
That’s too bad!
In the small town where I live—inside the city limits!!— you’re allowed one major livestock animal for every two acres. There are horses, cows, and donkeys grazing in front yards just a couple of blocks from the courthouse.
You can have as many chickens and roosters as you like, if your neighbors don’t mind. Goats, too.
The city doesn’t get involved unless a neighbor complains. That almost never happens. My neighbor’s horse wandered into my yard and started munching my apple tree. I just called the neighbor. No need to get the city involved.