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The .luxury extension was built for exactly one purpose, and almost nothing on it carries a bare, ownable word. Most of the category is squatted under long compounds or hyphenated filler. "baba" is short, warm, and already understood — a term of respect and familiarity that travels across languages, from a term for father to a fixture of the Silk Road bazaar.
Paired with .luxury, it reads as a house name rather than a product page: the kind of address a maison, a members' club, or a bespoke atelier puts on an invitation, not a landing page.
Short, exact-match names on premium new extensions have consistently cleared five and six figures when the word itself carries weight:
Figures on comparable transactions available on request — priced privately, not posted here.