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I have this doubt:
black plays a 1 on Tibet
White plays a 4 on Tibet
White wins by +3 so he should add 3 cubes to Tibet...
but Tibet is got 3 black cubes. What happens?
3 white cubes (entering Tibet)-3 black cubes (already in Tibet) leave Tibet free of cubes at the end of turn?
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Correct. In your example, Tibet will have no cubes in it. (No player would get the points, if it was a scoring round.)