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I was surprised at how easy the summarize tool worked.
After looking at other solutions it may not be clear that I used the Summarize to create a centroid given all the points in one column.
Never even thought it could be so easy to average the coords, but makes some sense. I wonder how accurate it is given that'd be 2d planar, but the earth is a sphere. Probably be more accurate to use a Great Circle.
For the curious the Great Circle mid point would be...
N 36 58 24.87 , W 111 44 9.65
C226 was solved, thanks!