That is extremely odd. That ribbed belt is also very, very strong (developed for the uber powerful 355D) so it should have no problem on your 345. That's the "old 54" deck too, which never had any belt issues (neither did the later 54C, but regardless...).
A primary deck belt should last hundreds of hours no problem, regardless of the cut height. It's not going to run perfectly horizontal, and that's OK. Something is really, really odd about your tractor + deck.
Get us as many photos as you can of the belt on the tractor, and them maybe of the deck removed. Photos from the top so we can see all the components. Many of us have 54" decks and 345's, we'll get it worked out.