Chewy did you use a punch?
I used metal hole saw blades. Didn't have a 2 3/16", not even sure they make them, used a 2" then filed out the rest. It was a little rough. I used the template as a guide (no drill bit in the hole saw). At the start, I ran the drill in reverse to make some guidelines and it doesn't bite much. Used a smaller cordless drill so it didn't bite as hard when switching to forward.
I wasn't sure how else to do it and I had the hole saw blades so ran with it.