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The final step in lapping is to place the hone under running water and use your fingers to rub off any particles that may be on the surface of the hone.

The first time you use a newly lapped hone...

Usually the term used is "Lapping". In general, lapping is done to flatten the hone. At the same time it also cleans the hone.
My personal observation is that all hones benefit from an initial...