[anothernewdude]

> If you have water, you can produce plants.

Simply untrue: https://en.wikipedia.org/wiki/Antarctica

> What land specifically is useful for animals, but not capturing carbon or growing plants? Please give a specific example.

Careful moving those goal posts, you'll hurt your back. Not a goal anybody set. But here: https://en.wikipedia.org/wiki/Rangeland

Animal farming improved human use of land, and indeed crop farming depends a lot on animal byproducts. Or do you prefer unsustainable mineral fertilizers?