I'd be surprised if it was 653 more likely to be 531ST I should have thought. I don't know of any frame makers that would go to the expense of building 653 race tubeset and then add dropouts with with mudguard eyelets
and build the rear brake bridge with mudguard clearance.
The replacement forks have close clearance but the rear isn't.
If this was a 653 frame I would expect it to have at least a front mech braize-on and possibly a chain hanger stud too on the rear seat stay.
The pierced spearpoint lugs should be quite diagnostic. They suggest a quality frame but other features do not . The 653 decals should be special refurb ones not original decals which is a bit naughty of the refinisher.
Weighing the frame completly bare might give a clue to its tubeset
All together a bargain bike for sure but of uncertain pedigree hence the price