You do not really have to but I think it is the easiest. If you want to reuse the exiting receptacle, you have to connect both brass screws together.
Remove the wire* from the brass screw. Take about a 6" piece of new wire and strip about 2" of insulation. Wrap the stripped end around both bras screws going clockwise and tighten screws. Strip an inch off the other end and wire nut to the wire* you removed.
Coastal South Carolina