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Alcaraz, who will climb to world number two behind Sinner on Monday, won his third title of the season ahead of the French Open which starts next weekend.
The Spaniard claimed victory in his fourth final of the season and sent a message to the rest of the men's tour for Roland Garros where he will defend the title.
Sinner tops the world rankings but his 26-match winning streak was ended by Alcaraz, also the man who had last beat him in last year's China Open final.