The Connie you posted at the top of the thread is a ‘round cased’ Connie.
.004 or .010 (its an .010 in your post. )
often called ‘hidden crown’ due to the recessed crown.
There are later round cased versions with flat dials with expressed crowns - and these are even less expensive.
This is what the lugs and bezel should look like on .010s
View attachment 489996
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