I didn't know they were showing solved puzzles! Yay!
Solved puzzles are already in live map, in the form of a puzzle with a corrected coordinate mini icon (a green tick) on the main icon, locatetd at the solved coordinates. As this icon holds a number of different mini icons it may be difficult to change it.
Note that GC does not provide a query in the API to be able to collect caches with corrected coordinates, so best practice is to record corrected coordinates in the notes sections, as well as the corrercted coordinates, so that PGC can reliably and correctly handle them.