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We use the same methods that led us to predict $M(\\Xi_{cc},~J^P{=}1/2^+) = 3627 \\pm 12$ MeV and $M(\\Xi_{cc}^*,~J^P{=}3/2^+) = 3690 \\pm 12$ MeV to predict $M(\\Omega_{cc}^+,J^P{=}1/2^+) = 3692 \\pm 16$ MeV and $M(\\Omega_{cc}^*,~J^P{=} 3/2^+) = 3756 \\pm 16$ MeV. 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