Oh wow I didn't even realize there were multiple branches! The one I was talking about was the branch where you accuse Dora of lying. I liked it a lot; it was complicated but in a way that felt very fair, which is always great in a puzzle. I also felt like it synthesized the all of the mechanics in a satisfying way.
I went back and played through again and found the level after the other dialogue option, but I'm curious how to unlock the third. It seems like there's something to do on the 5th level I'm not catching?