I might have missed something, but in the games current state, it doesn't feel like there is enough feedback for the player to solve the puzzle. Whenever I press a button or pull a lever, I ended up desperately looking for a graphical change or something in the description of the room or the events that changes, and I couldn't find anything. So, I mostly ended up randomly trying things without progressing. I did eventually end up in a bridge room, but I didn't know what I did to achieve it.