They should invent a dog breed and call it something cool. Like the Numbani Rumbler or the Eichenwalde Stone Bard.
Jetpack cat mustard rice.
Australian Sheapard. (I can’t spell)
Border Collie is always the correct answer.
However, it would be cute and probably more accurate to the chaotic world in the lore if Overwatch rescued/adopted a mongrel from a war zone. Maybe it got badly injured and they engineered cybernetic prostheses to save its life.