This is a really cool concept. I enjoyed the puzzles a lot. The music and sound design was especially nice. I appreciated how the complexity of the puzzles was linked to the emotional content of the story. At the moment when the events in the story felt inevitable the puzzles became trivial, very nice integration.
A couple of things about the puzzles: I felt like the 1 nodes were sort of superfluous since there's only one way they can resolve, you just have to click on them. The fact that the diagonal spacing was so much larger than the horizontal and vertical spacing meant that I kept not seeing that I could connect things diagonally. I got used to it pretty quickly but I still think it would be better to either make the spacing more uniform or to mark out ghost edges where an edge could be. Or something like that so that the potential connection is easy to see.