Wow this game is really nice! Its very polished, and I'm a fan of the retro PICO-8 ascetic! I didn't have any trouble with the puzzles, and the lack of inventory wasn't really a problem for me at all!
My only feedback is very minor: in the "lights off" section, the part where the lamp gives you directions of where to move, I think the list of movements might be slightly too long. Ideally its short enough to remember without writing down, since doing so breaks the flow of your game. As a general rule, people can remember 6 things maximum, and in this case the numbers and directions both count, so "4 up, 5 left, 2 down" would be pretty much the most a player could remember all at once. But all you would need to do to is shorten the list of directions.
Other than that one minor thing, I really enjoyed this game! the puzzles were clever and the talking objects and tone of the writing kind of reminds me of Undertale!