It looks like Elsbeth and the NYPD will be patrolling for some paws in Elsbeth Season 1 Episode 8, "Artificial Genius." Although, considering the title of the episode and the nature of the promo, it's hard to see the connection between a missing dog and artificial intelligence.
However, if there is one thing that this show is good at, it's balancing the level of camp with a clever plot structure.
Elsbeth has easily figured out some of the genuinely bizarre methods of murder so far...