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Surname Damet (Дамет , Damet ) , across the world, is a rare family name. The cognomen Damet is habitual in France, where it is a rare surname, Kyrgyzstan, where it is a very rare surname, and Mexico. In absolute terms, it is commonest in France, the United States, and Mexico. More prevalently, Damet is the forename as well as the last name.