The brown-eyed person likely has the genotype Bb for eye color, where B represents the brown allele and b represents the blue allele. Since the mother is colorblind (XbXb), she contributes an X chromosome with the colorblind allele. The father with blue eyes (bb) does not affect the X-linked colorblind trait. The engaged partner, being colorblind with a normal-vision father (XbY), would also have the genotype XbXb.
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