Constellation 18k Full Set

Unfortunately @Zaccardelli1994 none of the pics are sharp enough to assess the watch properly.
You ask about the edges but there is no pic of the edge facets.
The facets should be clear, slim and mirror bright on a C case.
From what we can see, I would say this watch is polished.

it is an early c case ( late 66?)

The box is very unusual - never seen one like this before either - a box style normally reserved for ‘standard’ Omegas ( including Seamasters and Speedmasters 😉)
Seen more towards the end of the 60s
However, with the outer box there is no reason to believe it is not authentic and you should post it in the ultimate box thread for reference.

Did you see the full papers?
The details are not normally written on the back of the papers the way you show.
Sows a little seed of doubt.

hope that helps.