The distorted view actually hurts my eyes. It's difficult to read and I'm squinting most of the time. I was able to get to level 10 and I could barely discern the shape of the bottom left hexagon. On level 11, I used your included video to complete it. By level 12, I was frustrated enough that I stopped playing.
The controls could be improved. Rotating components was a chore. I couldn't get it work 100% of the time. Instead of pressing Q or E to rotate a component, it would be much simpler to just left click on the component to rotate it. Since there's no time limit, being able to rotate left or right doesn't matter. For simplicity, just have the components rotate clockwise or counterclockwise by clicking multiple times. This may also help if you ever made a mobile version of this game.
I understand the idea of experimenting to figure out how everything works, but it doesn't appeal to me for a game design. Helpful tips about exactly how the components work would have been a welcome addition. I didn't take a digital logic course in college, so this concept is new to me. While the inital couple of levels were simple enough, from 6 onward was considerably more difficult. I completed levels 6 and 9 without using every output. Describing that the OR component combines the black portions of the shapes and the AND component combines the white part of the shapes (or vice versa, I still don't know, and that's kind of my point) would have gone a long way in making this more enjoyable.
Without getting further in the game, I can't speak to if the story is any good or not. Including a story in a puzzle game is nice, but it would have been helpful if the story somehow included the instructions on how everything works, maybe?
I actually broke the game somehow on level 12. I wasn't able to rotate or remove tiles, I don't know exactly what I did. I returned to level 11 and then back to 12 and it fixed itself.