Etymologically, English uses different words for animals than the meat, and the food word comes from the french (cow/beef/boeuf, pig/pork/porc, sheep/mutton/mouton). Looking at goat in french, Chèvre, that is used quite regularly to describe goat's milk cheeses, but I've never heard it or a derivative to refer to goat meat. Typical dishes I've seen are things like "curried goat". Wikipedia has some more info, but notably, the article title is "goat meat".

https://en.wikipedia.org/wiki/Goat_meat