This is so cool!
I love the idea and what you actually made of it. The game is very well polished and the sound effects really drive home the sensation of shifting rooms!
You've made sure to introduce new mechanics with very simple "play don't tell" levels, which is so much more elegant than any tutorial, menu or text can achieve.
I really don't know what to add, there's a few additional bricks around the core mechanic of shifting rooms – like the restricted areas – which push the puzzle and decision making even further, which is just great! And you've made a decent chunk of levels too to show-off what you made.
Congrats on one of the best games of the jam by far, very well done!