To take or not
i wanted to say "not" but the mate when you take (which is what you put up) looks better. good puzzle!
i guess the question take or not reffers to 1...Kxc6, well even if doesn't take it'll be checkmated on the next move with 1...Kd8 2Ba5#
so to answer the question it doesn't matter if it takes or not.
Nice puzzle