I get that this game is trying to do something in a style of detective game like Hypnospace but honestly, puzzles feel kinda weird. It doesn't feel like there's any real challenge to them - basically it's like a place in the game asks you to input a word, and you find it elsewhere stated explicitly.
There is no real lateral thinking required, you just do what you're told to, going through the motions.
Like personally I found that to make a deduction puzzle, player should be forced to make a connection that isn't explicitly stated in the game. Hypnospace does it, Obra Dinn does it, every good detective game does it. Like, you're given a hint 1, a hint 2, and you have to make the connection between them yourself using real life knowledge.
The closest thing to lateral thinking is the childhood pet puzzle, but even then it feels bit too easy. You shouldn't be afraid to challenge the player a little bit, especially since you have a hint system.
The writing is decent enough because it's sorta funny. It's not amazing, like laugh out loud funny, but it's okay, and it really salvages the game.