Your Omega case is gold shell over steel. Only chance to repair it would be to remove (or have removed) the bezel, crystal, stem, crown, and mechanism, and take just the case to goldsmiths until you find one that will fabricate a solid gold lug to match, then gold solder (weld) it on. Might be tough to find someone to do it, but Google “watch case repairs” to see if you can locate a specialist shop to tackle it. E X P E N S I V E!
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