Identify local minima in 3D plot/coordinate data
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I have some coordinate data, and I am trying to find the points as described on this graph with arrows:

I am trying to find the point in the coordinate data in the 3D plot as it is not always clear when looking at just the vertical plots. I honestly can't get my head around it conceptually what I should do. Does anyone have any ideas on how I should approach this task? I have attached some example data with X,Y,Z position data in columns 1,2,3 respectively.
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