Pretty fun, you did a great job. I liked how the number of pips corresponded to the no. of enemies/dice and how you had to think about where you place the dice to not end up trapping yourself. Highlighting or adding a message like "Select dice" onto the dice hotbar when you enter the doorway might help with letting people know when they can place the next dice.
These are just suggestions and you might have already had some of this planned, but you could also include different types of enemies, or have the dice act like puzzle-pieces and not let them fit together if the doorways don't match up. That might increase the puzzle aspect and make people think more about what dice they're placing where.