You won't be able to shoot them out as you won't be able to close the bolt, unless you intend to prime them with bolt before shooting.
Just carefully deprime with your sizing die.
This is a fairly common problem with, new brass and is actually a good thing in away as better tight than loose.
Probably all primer pocket needs is a little chamfer, and pocket uniform on it from likes of a Lyman tool. The yellow/bronze one where you can change head out to what you are doing.
All different brass brands/primers are not exactly the same as you are talking small clearances so will find they all seat different.
Bookmarks