Unless a fake or some after-market imitation, the original logos were a glass paint(real glass dust in a base), baked onto the glass. It is fairly abuse resistant. Since I helped you with the lapping film, I'll suggest you just place a finger-tip just over the logo, and rub the glass with the lapping film with your other hand. From what I saw of your glass, this should only take a few minutes of work.
Suggestion: unpin your band at the clasp before starting....

so much easier to get a good grip on a case if you can just stick your hand into the band and not have to worry about twisting or otherwise "jacking" the band.
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Sales of vintage LED, LCD, analog watches,
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