Nice work! This is a very interesting concept. Switching between different modes to position the box the way you need it is a creative spin on the standard "figure out how to press all the switches" puzzle game.
I wanted a "retract chain" option/mode to pull the box to my location. I got stuck a few rooms in because I couldn't figure out how to get the box up into the corner, which was frustrating.
This might be very interesting with actual physics on the chain; on the other hand, it might ruin the precision and make the game impossible, so you'd need to try it out, haha.
The text was hard to read, and I think there was music mentioned on the title screen, but then no actual music?
There's some great potential here. Thanks for the submission!