A few important notes:
Farming provided enough food so that people *could* live together. But agricultural animals also act as vectors of the disease. Cattle, pigs, African buffalo (not domesticated), hippopotamus, cats and rodents.
Importantly, there are a bunch of different kinds of TB, only some of which infect humans. But this bacterial specialization could have happened at any point in history.
Thanks yefragetuwrabrumuy.