Fun fact, properly managed cattle herds can sequester carbon on an industrial scale! Techniques like rotational intensive grazing can help build up the top soil and rich root system that used to cover the plains, sequestering carbon and making the soil far more fertile.
Methane release from cattle is largely a by-product of nitrogen fixing fertilizers putting natural methane eating bacteria in the soil into an inactive state. If we stopped using synthetic (and oil based!) fertilizers at least on where the cattle poop, a lot of that methane will get sequestered into the top soil too.
Which also explains why the flatulence of 60-100m buffalo before the industrial era didn’t warm the planet.