This is a great use of the limitation! I really like the art and the little animations (like him portal-ing into each level) and trying to figure out how best to kill myself for future me to use. One thing happened to me, I had 0 froggies left and died on some spikes so it just started infinitely spawning dead bodies around me. Not sure if I was supposed to see a restart/game over screen or not at that point.
Anyways, great job!