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I have many points (the points have elevation) I want to remove some points that are too close together

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How I can select points in a buffer (just each buffer) and among them choose a point that having more elevation? (in ArcMap)
(Each point can be in several buffer and as each buffer can have multiple points)
I have many points (the points have elevation) I want to remove some points that are too close together and I want to keep a point that has more elevation among them. what do I have to do?enter image description here


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