Update 07/08/2023:

The Elite icon on the Home Screen was removed in the latest update on July 21, 2023. The Elite information can now be viewed in the right-hand side of the "Buy Coins" page. These changes were made to improve your overall game experience.

 
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You can open Elite by clicking the icon in the lower-right section of the lobby. This icon will also display your current point total or days of access.