Well, you could do that, and then you would have new problems to figure out. And sooner or later you will dive into the wonderful world of fiberglass repair anyway. Might as well get your feet wet now.
Grinding out that small area won't be all that bad, but it will be messy, still the more protection you install, the smaller the mess afterwards.
If you use an angle grinder, use Flap Disks not grinding disks. They work faster than grinding disks. I've been using discs from Benchmark Abrasives, decent quality and a very good price.
Benchmark Abrasives carries a complete line of zirconia flap discs, as well as top-quality general-duty diamond blades and excellent surface conditioning
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