Wow oooo, it's very dangerous to allow your goats to roam around the environment more over where plants are growing. This happened to me last year and I shared it in this platform,

My neighbour out of envy of my garden left her 6 goats lose, they were feeding on my crops day and night. Cassava, maize and my pumpkin leaves all died.
Decide to luck them up and then feed them than allow them roam around.