Well, I'd like to give this a 5, as for ithers, but unfortunately, this episode is not as polished. The bug with Cat being captured by Cough is repeating if you re-enter the hideout, and the conclusion of actress being the Cat appears when one of the deaductions for her is crossed (the one about her popualrity)
But the story is amazing as always, I loved the idea of intermediate riddles - Nine Death's Cat is charming with her wordplay. So, keep it up!