I see no reason for you do anything more with the watch except wear it and enjoy it.
You will know that it's a special piece due to the engraving anomaly and if others notice/comment on your watch while you're wearing it they may be interested, but if the observer mentions "issues" or suggests a fake just nod, smile and move on.
Regarding comments related to Superintelligence. Many of us have experienced newer members using A.I. output to post on the forum, either in initial questions or in response to others. We find it very tiresome having to point out the errors/omissions/bullshit in their A.I. generated output.
Another issue is that translation from one language to another used to be "not perfect but understandable" and while not reflecting the format/style/expression of the original language it was acceptable. With the primary translation machines moving to more A.I. based interpretation we're starting to see "A.I." in simple conversation translations.
This may explain some of the "A.I. bias" in this thread.