Awesome concept, had a lot of fun playing around with different strategies on how to solve the levels.
I had some trouble understanding the UI during the keybindings. I though the arrow on the right was the start button until I saw the checkmark on the left.
Also I found two bugs. Pressing space to view the current keybindings shows only empty bindings. And you can control the player in the keybinding menu what lead to me dying in level 4 because I jump. The game then put me back into level 4 with my keybindings of level 3. This might break some levels that have restrictions to the bindings when you can just carryover the bindings of the previous level.
Another info. You can force your game to be fullscreen on itch if you edit your game page and select "Click to launch in fullscreen" in "How should your project be run in your page?". Then the game can only be played fullscreen.
Good job and thanks for making the game!