Yes, but you don't need to increase the wire size. Before you replace the wire, I would pull either the lock or unlock relay to see which circuit has the short. As they both supply 12 volts continuously, either could have the short. If, after pulling each relay, then both relays to verify, and then finding the fuse still blows, you know it is the Lt/Gn wire. Otherwise the short is in one of the branch circuits. The driver door is usually the culprit, as it gets used the most. Of course if the car has been damaged, then look in that area.
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