Is this a fake Omega 565 from 60s? The dial is confusing me and ref ID are confusing me..

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You’ll get a better response if you post the pictures directly here for reference and future posterity. Also, best to lead with a bit of what your own research shows. Cheers.

 
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Everything matches up per Omega:

omega-vintage-geneve-omega-BA1620033-77a510.jpg

https://www.omegawatches.com/en-us/watch-omega-geneve-omega-ba-162-0033

gatorcpa
 
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Looks better with onyx / paint on the hour markers.