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Superpowers comes with built-in handlers for touch-inputs, take a look at these methods under Sup.Input:

 function getTouchPosition(index: number): Math.Vector2;
 function isTouchDown(index: number): boolean;
 function wasTouchStarted(index: number): boolean;
 function wasTouchEnded(index: number): boolean;

Let me know if you have any other questions!