What is the fundamental difference between POC and MVP?

Question

Project management

At first glance they look the same

Answer 1

POC - proof that the idea is feasible
MVP - minimum viable product. It can already be monetized

Answer 2

MVP is already at least somehow working something, and PoC can even exist conditionally. Let's say a couple of screens with no backend and a working UI, and all the buttons lead to an offer to leave an email, for example.