Thanks for playing the game! As for the door you can't get through, it might be a bug in my game since I made it rather quickly for the jam. I'll fix it after the jam. There's actually more to explore beyond that point.
Viewing post in MECHANICAL ASCENT jam comments
Judging by the map and the layout I remember running through, the part I'm locked at is right at the door to the first boss area. It's right after the second timing challenge where I can't move forward because of the impassable boss door and then get locked in the area because the previous room's door closes upon leaving the screen. Hopefully that helps you find the bug a bit easier now that I have a specific point to reference to.