Legit check for Vintage Omega watch

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Hello everyone I am new to Omegas and am currently looking to purchase this vintage Omega the seller states it’s 14K gold Bezel with stainless steel under I was wondering if it is Authentic and everything checks out before I purchase this item
 
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At a glance I'd say it's authentic, it has that sunburst patina as well
 
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If you've not already done so, you can compare it to other examples. From your photos, the case ref is 166.003.
 
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I have these, both 165.003 - the 'no date' version with the 552 movement.