First check if the rear lighter is working. If it is, most likely the front socket is defective. It has a thermal cutout for safety that can develop a bad contact.
If both sockets are dead, there is a fuse that protects both of them. That's fuse # 8, a yellow 20-amp shown by the red arrow in the first diagram. The green arrow is pointing to it in the third drawing. That's for the Power Distribution Center, (PDC) / under-hood fuse box next to the battery. This article shows how to check fuses:
https://www.2carpros.com/articles/how-to-check-a-car-fuse
If the fuse is okay, try swapping the "lighter / accessory" relay, (pink arrow in the third drawing), with one of the other ones like it.
This system is also protected by a "positive temperature coefficient", (PTC). Those are a semiconductor device that will go open circuit just like a fuse would do if their current rating is exceeded, but they reset instantly when the overload is removed. They're soldered in to the fuse box, and rarely fail. If you haven't found the problem by this time, we'll need to do some voltage tests to solve this. By far the most common failure is a blown fuse # 8 due to using the socket to power something other than a lighter element. The plug's outer ground contact can touch the socket's 12-volt terminal if it is inserted just the right way.
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Friday, January 14th, 2022 AT 5:28 PM