According to the general accepted norms, they are outside the brahmin definition.
Similarly there are Bhumihar Brahman in bihar, who are Kshatriya Brahmins , and land lords. Who eat meat but profess themselves to be Brahmins.
Nagars in Gujarat claim their superiority over brahmins, and claim descent from Greeks. They are very fair and blue eyes.
Similarly Nambodri-Brahmin claim their superiority over other Brahmins.
I do not understand the purpose of all these labels, except for chest thumping.
I am sure this will be disputed by "pure" brahmins.
If a person becomes a Brahmin (not by birth), then that person will have to find a new classification or accept one of the existing groups.