I really enjoyed Raide and I think this shows a lot of promise as well. 
I'd suggest allowing your puzzles to speak for themselves and removing the mandatory little tutorial cutscenes at the beginning. 

The start felt very sluggish, and I ended up closing the game while walls were being explained.

I hope it doesn't seem rude, but I really don't have any interest in what the characters have to say to each other. I just want to solve puzzles. Anything that interrupts my ability to solve puzzles should be either skippable or at the very least should be snappy and responsive. It felt like the entire game was set to .25 speed.