Just run away from this one, there is nothing interesting on this watch with so many things definitely wrong with it as stated above. I would not buy this one at any price as it doesn’t give me any pleasure looking at it.
A leading 5 on a case number means that this is a woman’s watch and a small one at that. No matter how small your wrist it’ll look tiny, and it’s is overpriced by a factor of 2-3. If the seller can lie about that, how can you trust anything else?
$2600 is about 3x more than what I'd pay for a similar model that hadn't been refinished and the movement swapped. And I fully recognize that I'm willing to pay a bit of a premium over the average collector because I like these. For the record a 566.007 is a 31mm watch (about the size of a US quarter) with either a cal. 681 or 684 movement. The front and back of the case should be brushed, the edges sharp, and the sides mirror polished.
You got lucky. With the crappy redial and over polished case it's worth no where near that amount. The seller is in dreamland.