If you eat it with a fork it's not a sandwich. Meat has never been a prerequisite for a sandwich, if it was, vegetarians would never eat a sandwich, and they do (grilled cheese, falafel). Ice cream sandwich is a sandwich. It has two layers of bread, or things that act as bread, that hold a middle layer and are eaten with hands.
^Definition of sandwich^
It's re-pick or only have 4 sandwiches, your choice. I was light on the copy pick of a hamburger, but this is where I put my foot down. No fork eating, open sandwich having nonsense.