[HO455]

There are several way to go at this. As usual rust is a concern. Since the current bulb holder is crimped to the housing the ground path for the 12 volts goes through the crimp. If your crimped area is solid and rust free chances are that you have good conductivity. (You can check it with an Ohm meter). If it is good then you can replace the individual conductors in the bulb holder. They can be sourced from a new generic socket repair kit (photo #1) or as individual leads with the soldered button contact installed. I prefer to use as much of the factory parts as possible as they fit the original bulb socket much better than the generic parts.
If the bulb socket is rusted then replacement of the socket is a good idea. Once the old one is uncrimped and removed the rust must be removed to clean metal. Then you can install a new socket and solder it in place of the old one. After soldering you can paint the back as needed and touch up the paint on the inside to prevent further rust. (Just no paint inside the bulb holder) Just using the generic snap in sockets will work but down the road the snap in clips will lose continuity and the light will quit working. Usually a quick twist or wiggle will bring it back on line.
To help prevent rust in the socket and on the bulb base I highly recommend using a product called Corrosion Block. I have used it for decades at work on deck lighting installed on tug boats and found it to be a great product. And no they don't pay to say this.
Sometimes at bigger boat or yacht shows you can score free samples of it which are large enough to do 6 or more bulbs depending on how liberal you apply it.
https://learchem.com/products/corrosion-block.html