I have a 2021 F350 crew cab short bed with the 7.3 and it weighs almost exactly 7,000 lbs empty, (weighed at the local feed store).
It has a max GVWR of 11,300 and the door sticker says not to exceed 3,877 cargo plus pax. I'm not sure why there is a discrepancy.
I belive an equivalent F250...