How to connect two traces nearby on a PCB
I have fixed similar situations by doing what you suggest. Gently remove the solder mask on both areas and connect them with a blob of solder. Ideally I place it under a microscope and use a sharp knife to scrape of the solder mask, avoiding damaging the copper .

It might be a help to use a small piece of solid wire across the gap to help the solder make a connection and not just get sucked to each side of each area.

The solder will easily carry the current as it is a lot thicker than your copper traces.