Great Introduction to the mechanics, as well as overall presentation!
When I was thinking of ideas for this limitation, I really wanted an idea that would make the player think "Why did I do that." to themselves, and this game definitely succeeded at making me think that. Wondering why I ran all the way into a corner when I needed to go the other way, killing out my hiding spot.
The coins sometimes act as good bait too, where it is easy to pick them up, but by getting all of them next to each other, sometimes it makes it harder to traverse back. Which also made me realize that coins can be an indicator to where I haven't been, which was a nice realization point.
The game can get pretty hectic when you've been in a level for a long time, I got some pretty narrow escapes on the last level, as well as thinking to myself "What would I do?" when trying to dodge my past self.
Would be cool to see more mechanics added, like maybe using the door buttons as a bridge since they flip up, maybe needing 2 buttons held at once to cross a gap. As well as other random objects.
14:17, (Pretty slow :/) Nice game!