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Pity!Both
As I said above. You cannot leave live cables in the wall and just plaster over them, unless they are at least 50mm from the surface.
So you have two obvious options
1. Rewire the socket so there are no cables in the wall. This may be tough as the cables come from two directions, but there may be a service duct in a corner, or other routes that the cables could take. You'll obviously need to find a location for a junction, or two.
2. Connect the conductors together, in the existing back box, using some insulated terminal block, or Wago-type connector.
Then put a blank plate over the back box, but on top of your new plasterboard so it can be seen.