This is the reason we have animals in
permaculture.
I don't have any weeds at all on my property. However, I do have
chicken treats, goat salad, rabbit lunches, guinea pig nibbles, and pig snacks that pop up all over the place from time to time. It's just part of my
gardening job to move these plants from their unintended place of sprouting to the proper paddock, coop, or cage. When you are harvesting undomesticated
volunteer plants for your flock, it's a lot less of a chore than "weeding".