Does anyone know of any good guides for making puzzles satisfyingly solveable, but not trivial or chaotic?

My game idea more or less revolves around a central moving-pieces-on-a-board puzzle mechanic, and I want to try and incorporate multiple possible solutions and gamestates. However, I don't want to incorporate too many, as I want to make art and dialogue to accompany the different solutions a player might find. If there's any info out there on how to manage the logic and flow of a puzzle, it would help a lot

There are a few videos on puzzle design over on the Game Maker's Toolkit YouTube channel. He even did a devlog series on the development of his own puzzle game, which may help!

https://www.youtube.com/@GMTK

You don't need to watch every video if you don't want to. Not all of the videos are applicable to the puzzle design of puzzle games, but honestly I have been subscribed to them for as long as I can remember, and a lot of my understanding of game design came from them.