Some people in the music world are constantly on the lookout for "The Next Beatles"....
Perhaps some people here are on the lookout for "The Next Trona" thread...
As to the watch, what's been said by others here rings true for me. Refinished dial, with (as you noted OP) anomalies around the date window. Likely a wrong movement, too. Also that crown...hmmm...
I've enhanced/sharpened/brightened the images provided, (old photographers never die, we just develop

) and the movement appears to be a 56-something, with the last digit hidden by the rotor.
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Did the seller provide other photos.? I would say anything hidden (like that last digit) is a definite red flag. If there
are other photos, could we see them? There may be more pertinent information in them. (like a serial number.) If these are the only two photos, request more from the seller. The seller's response will be telling.
Dont know what you did to enhance the picture, I thought there would have been a slight loss in detail on enlargement, and you did not have RAW versions to work with, but the new photos are fab , thanks for taking the time to improve them. I really like it when people with different skills get involved in the discussion