This is a nice puzzle game. I quite literally had the same idea for 3rd person adventure game I'm trying to build where you have to record yourself in such a way that you have to kill him afterward to break the time paradox (or loop in your case). The puzzles can be fiendishly tricky. Very well done concept, but when you have time, do add more music, and think about art/graphics, maybe a story.
Or... contact me afterward if you want to make a game around this!