The key to finding the suspect and not shooting the dog is, “what did the dog do in the backyard?”
“The dog did nothing, until we arrived.”
“Corret! Ergo, the suspect wasn’t in the yard; if it barked at, and menaced, you, it would also have barked and menaced the suspect.”
Stupid badges can’t think; just react.
It is a good thing most criminals are absolute morons, because cops are freaking idiots!