Determining majority land-use in clip and assigning dominant land-use category to point using ArcGIS Pro

I have a shapefile for land use that is clipped by 500 meter buffers around a point (contamination site). I want to analyze those clipped areas for the majority land use in the buffer area and then match that up with with the location and attribute information of the point value – so that they are in the same table. So in the picture below, purple is the majority category and then purple would be associated with the attribute table for the point at the center.

I thought this would involve Dissolve and/or Spatial Join but I could not get that to work.