I would like to select and copy only the surfaces of the top side of the component in the attached image.
(practically the skin above)
There is a way to quickly select the patches and not one by one with the CTRL key.
You could use Seed and Boundary. It's not a magic bullet, there can still be a lot of surface selections on a part like this to set the boundary or else the selection set "leaks" out beyond what you intend.
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