Anytime any circuit or wiring is added like this, it's a good idea to fuse it. It doesn't matter what the draw of the component is - if the added wire shorts to ground, it will start wiping out whatever donor circuit was tapped into or blowing its fuse at a minimum. That's not cool. If all is always copacetic, the added fuse will never blow anyhow.
I and several others mentioned running a new wire before...........
I also like to find the reason and source of shorts just for my own edification.