Chosen Solution

Is it a resistant or a loop that is right over the battery connection?

That is the filter on the gas gauge line. Yes, it definitely needs to be there. You could short it out to see if that solves the problem but ideally the part should be replaced. This is a very tiny component and difficult to solder unless you have good tools or lots of experience. Ideally, you should look for a shop that can do micro-soldering repairs. It shouldn’t be too expensive if that is the only fix required.