COLDI
I have the exact same spot on my CG. I also had a much larger spot appear on the side of my CG that, initially, led me to believe my CG was plated (it was not). I soaked the CG in a mixture of ketchup and lemon juice several times and it would not remove the spots. I tried polishing the CG and it did not remove the spot. I then very aggressively re brushed the entire CG with a Scotch Bright pad and it completely removed the large spot on the side of my CG, but because the dot in TM is recessed, it was very difficult to remove it entirely without destroying the brushed finish. I decided to leave well enough alone and left the darkened dot in place.
The best I can tell is that, although I believe the 382 is in fact 'Bronze" the quality of the bronze is not that good. The surface spots we are seeing are some form of contaminant in the metal that can appear randomly on the surface as the parts are machined. The contaminant in the bronze is not something you will be able to remove with a solution, but something you have to remove with force. You could use a loupe and the metal tip of something sharp to scrape the dark spot out of the recess, but in the case of the surface contaminant on my CG, it was pretty thick and required me to actually brush away some metal along the entire outer edge of the CG to remove the contaminant completely.
It really is a crap shoot. You will have to decide if you want to take the chance that you may have to go deep to remove the dark spot, it may pop off with a little work, or leave it the way it is. In my case I had no choice as the the dark spot on the CG made my watch look like the bronze had worn completely off. If the contaminant on your watch in the hole is as thick as the surface contaminant was on the side of my CG and you scrape away until you have it removed, you may end up with a pretty deep looking hole or at the very least, a deeper hole than the other dot that does not match.
I think I would live with it or try and procure another CG and once I knew one was on the way, give the old CG he!! to see what happens...
Good luck!