This is a cursed win. Mate can be forced, but a draw can be achieved under the fifty-move rule.
To probe all KBBPvKQN positions, these tables and their transitive dependencies are also required:
KQBBvKQN · KBBPvKN · KRBBvKQN · KBBBvKQN · KQNvKBP · KBBNvKQN · KBBPvKQ · KQNvKBB