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I have a point layer and I need to group/aggregate the points within a 1km proximity into 1 single point to create a new point layer.

I was trying to use Aggregate point and then Feature to point, but it eliminates the single points I have in case there are no other points in 1km proximity, but I need to be able to save those single points too. It also groups only three or more points.

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The Integrate tool should do the trick. Although, be advised that Integrate will alter the original point feature class, so run this tool on a copy of the original.

Integrate is used to maintain the integrity of shared feature boundaries by making features coincident if they fall within the specified x,y tolerance. Features that fall within the specified x,y tolerance are considered identical or coincident.

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