. . . that when you take it to a watchmaker, the movement will turn out to be a cal 302, and will date to ~ 1953/54.
It's an interesting Omega: solid gold dress model with a screwed back, and appears entirely original to my eyes. Definitely worth servicing. Tell the watchmaker you don't want it polished, nor have the crown replaced 'to assure water-tightness'. No one cares about water resistance, but collectors do care about originality, and the crown is likely original. Replace the crystal if necessary; fortunately all movement parts are available so you won't run into a situation where the movement is apart but can't be assembled for lack of a critical wheel or pinion.
Congratulations on the score!
Impressed,
Art