After the first rotation room I was able to get past the next one, but the room after (the locked door one) required me to go to a path that was inaccessible because I was rotated the wrong way. The issue was that the room between them was possible even when you were facing the wrong direction. For reference when I entered the locked door room the locked door was on the left
I was able to figure it out after restarting a couple of times so even just adding a restart game button would work well enough if that's the type of game you're going for (maybe add checkpoints too if you make it longer)