This is a pretty good game. The mechanic was rather unique and adheres to the theme well.
One nitpick, though. I was confused by the doors because the first time I learned that I need to hold the button down to keep the door open. When the next door came however, it and the button looked the same, so I thought I needed to hold the button down again, which would've made that level impossible. Fortunately, I quickly learned that some doors just need one button press. Next time, it would be nice to have some distinction to know that there are different types of doors and buttons.
Otherwise, nice job. Nice ending by the way. :)