Scratched Speedy

I unfortunately had an accident that scratched up the case of my new speedy. It was a gift that means a lot to me and my first luxury watch. I don’t mind wear and tear but I’m pretty bummed with this one. It’s really just the one spot on the case at the lug. I intend to get a professional opinion, however there’s not one in my city and I’d like to plan accordingly.

Does anyone have any experience getting scratches like this fixed through Omega’s Authorized Service Centers? Any idea how much it will cost and time it would take to get it fixed? Possible to make it disappear to near factory finish?