Piece 'o Cake - as long as its under the Bottom Paint
Grind/scrape back the bottom paint and use Marinetex with a spackle knife to slightly overfill the gouges.
Once hardened, sand flat with a Vibrating palm sander using 100-grit production paper.
Repaint with the bottom paint and nobody will be the wiser.
Should take no more than a liesurely morning to do from start to finish.
Been there and done this and it is undetectable once completed.
rgds, Leprechaun