Really like your take on this. It is similar to my take on the theme (getting different levels based on your die rolls), yet you made it much more direct by using the die to create your path. Really like that idea and hence I think it comes across better than mine. Like how you gave it a dark-ish theme and the sound that you used.
I like that you added multiple paths. For more player progression I was thinking of adding dice for skills too, and enemies using dice too. I think this would work for you too.