I was able to find the auction listing for S/N 1027
here. This is the Bonham's auction where the lot was withdrawn before sale, and also the watch for which the Extract of the Archives shown above was obtained.
I have no idea why the lot was withdrawn. The description mentions that the watch was in the possession of a German astronaut who flew on the Space Shuttle, then given by his widow to a crewmate, whose family was then selling the watch.
My speculation is that since this was a very public auction, someone at NASA said something to Bonham's about the title to the item not quite being clear, and that was the end of the auction.
With respect to a private sale that occurs outside the US, there is not much the US Government can do about it until the property returns to US jurisdiction. This is precisely what happened in the case of the King Farouk specimen of the 1933 $20 gold coin which was seized 40 years after it was withdrawn from
an auction to which the US objected. Someone who acquired that coin outside the US wanted to bring it back home for another sale, the Secret Service got wind of it, and the possessor (who was a broker for another party) was arrested on the spot.
I feel bad for the OP who seemingly acquired the piece in good faith, but I fear there may be some issues if NASA is able to connect the dots here. With respect to Omega acquiring
@watchyouwant's piece, Omega may know something that we don't know about the title, or they figure that until that watch is returned to the US, there is nothing to worry about.
gatorcpa