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📰 Solution: Let the fourth vertex be $ D = (x, y, z) $, and denote $ A = (0,0,0) $, $ B = (2,2,0) $, $ C = (2,0,2) $. In a regular tetrahedron, all edges have equal length.
📰 From (1): $ y = 2 - x $, from (2): $ z = 2 - x $.
📰 Thus, the fourth vertex is $ (0,2,2) $. Verify distances:
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