You should press the buttons on the wall whenever you see them and just intuitively go where it goes. Press buttons, go, new torches lit on, the sign at some moment says to follow torches - you follow them, new torches lit on and hint you are on the right way, and you finally exit.
This part was done by another team member - I dont know what is behind the scene, so I play as just a player not dev and everytime it just somehow leads me to the exit. I cant say it is really a puzzle or real labyrinth, rather "semi-puzzle labyrinth alike walking" :D
Hope it helps!
Thanks for playing :)