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To check your rank in the Tournament, there is a bar indicator when you enter a room on the left side of the game screen.
While spinning, your exact rank in the Tournament will be shown either at Gold bar or Silver bar (red arrow).
Gold bar means that you are at the Top 15% of the Tournament that will have a share in the prize pool.
At the top of the bar indicator (red box), there will be more details about your status in the Tournament.