I just randomly measured a few nominal 2 3/4" fired hulls, Win AA (old style) Rem RXP & all were a full 1/16" shy of the magic 2.75" or about 2 11/16". Thus with a 2 5/8" chamber you are looking at a hull only 1/16" longer than actual chamber. "IF" the load you put into that hull has presure compatable with the gun, it will never know the hull is "Too Long". Several American Companies purposly cut their chambers to only 2 5/8" for use with 2 3/4" shells.

Miller/TN
I Didn't Say Everything I Said, Yogi Berra