The Importance of Fitting Puzzles in the Story

I'm thinking about the fitting of that feedback loop, and sometimes the story sort of leads design and then vice versa. I think a lot of the time you definitely can categorize a puzzle, but I'm always trying to at least put some kind of twist on it. Do you feel like a very complete, full repository of all the kinds of puzzles in the world that you can just sort of match to any given narrative thing? Are you always on the hunt for different kinds of puzzles? Someone who doesn't like, I'm newer to this space, so I played adventure games and things like that.