dogs DO have myths

Illustration of the constellation, Canis Major, “Greater Dog”. Canis Major is located near the constellation Orion, the Hunter in Greek mythology, and is considered one of Orion’s hunting dogs.
From Astrographia.com
We are meaning seeking creatures. Dogs, as far as we know, do not agonise about the canine condition, worry about dogs in other parts of the world, or try to see their lives from a different perspective. But human beings fall easily into despair, and from the very beginning we invented stories that enabled us to place our lives in a larger setting that revealed an underlying pattern, and gave us a sense that, against all the depressing and chaotic evidence to the contrary, life had meaning and value.
Karen Armstrong. A Short History of Myth