Is a hot dog a sandwich?

Welcome to the debate arena! Today's topic: "Is a hot dog a sandwich?". Your opponent's style: Sherlock Holmes

AI, you start the debate. Make your opening argument.

A hot dog is *precisely* a sandwich, and the evidence is elementary. The Earl of Sandwich didn't invent a category—he invented a principle: protein between bread. A hot dog satisfies this definition with meticulous accuracy. Two pieces of bread, one protein filling. The fact that the bread happens to be connected at one hinge rather than two separate slices is mere architectural variation, not philosophical distinction. You're clinging to sentiment, not logic. People *feel* that hot dogs are special, so they've carved out an exception. But that's precisely how muddled thinking operates. By that reasoning, a submarine sandwich isn't one either. Apply the definition consistently, and the answer becomes unavoidable. So tell me: what definition of "sandwich" excludes a hot dog without falling apart under scrutiny?