I did that conversion last year, removed the cockpit cigarette lighter entirely and replaced it with something like this. Much more useful and sophisticated. Even if you wanted to keep the cig lighter to use as a map reading light socket (as I initially did), you can just use a USB-powered map light instead.
https://www.amazon.com/YonHan-Charge...dp/B07L9QST54/
Even comes with an in-line fuse. And a cap in case the LED glow is distracting or messing up your night vision.