To sum it up (as I understandt it)
You are looking for a gold capped Seamaster watch with exact this case as shown above.
The reference 166.003 may either be stainless steel or cold capped but the case will always look like the OP speciem.
It may have a 562 or a 565 movement and different hands.
IMO the reference number is not rare in SS but more rare than other Seamasters. The gold capped ones are clearly in the minority.
1000 USD for the OP watch is much money, if its too much this depends on you.
As pointed out already the watch looks legit and in good overall condition, concerning the exterior (dial, hands, case)
Please ask the seller for a picture of the movment and ask him about its service history.
Than come back to discuss that here.
My 2 cents
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