the people will demand steak!!
the large animals yes would be a problem, but small animals like rabbits would be perfect for people to get the taste of meat they want
they are small, don't require a lot of space, have high quality meat, and reproduce rapidly
that is what is thought would be the fresh meat component on a mars mission, they would have a small green house and a rabbit pen, and would eat a combination of fresh meat and vegetables and prepacked food from earth
so I could think an agradome could have a small corner where it would have a rabbit hut or something, game play wise it would not affect it at all