The purpose of creating a Blue Cute Lost Dog Flyer is to spread the word about a missing pet to the community in order to increase the chances of it being found and returned to its owner. The flyer should include details such as the dog's name, breed, color, size, and any identifying features, as well as contact information for the owner or a reward for its safe return. It should also be posted in neighborhoods, pet stores, and on social media platforms to reach as many people as possible.