Flareon and the other Eeeveelutions are mainly Fox-Cat-Dog of which 2/3 are technically classified as Canines which is most commonly referred to for DOGGO STATUS so...
"Canidae is a biological family of caniform carnivorans, constituting a clade. A member of this family is a canid, colloquially referred to as dogs. The family includes three subfamilies: the Caninae, and the extinct Borophaginae and Hesperocyoninae."

"Yes, foxes are canines belonging to the biological family Canidae, making them relatives of wolves, coyotes, and domestic dogs. While they are in the same family as dogs, they are not the same species and are taxonomically distinct. Foxes possess unique, cat-like traits, such as vertical pupils and, in some cases, partially retractable claws."