Is your rear diff clutch or electronic locking or just non locking in any way which is what i personally prefer. If it's electronic or non locking use whatever 90 grade oil it doesn't need a limited slip additive or to be Full Synthetic. That is also 85 instead of the standard 90 so they're just trying to eek out FE to meet regulations. I'd just use a 90 grade from where ever even if it's conventional because the Full Synthetic stuff isn't worth double or triple the price which it shouldn't be but is. But you're better off changing twice as often.
I have 331k on my 05's original rear diff and all its ever gotten are infrequent 80w-90 changes about every 100k and it's fine to this day. Dead silent. Though gm made better quality trucks back then so I think I'll change more frequently on my 2021. I don't believe in changing rear diff oil super often if you don't tow. The temps stay low. If you tow a lot then the oil gets roasted. On a rear diff that isn't towing the temps on the highway while cruising are typically around 130f believe it or not. But towing and they go up to over 200f.
I had a friend that finally replaced the rear diff on his 01 silverado at 382k since he never once changed the fluid since new because a mechanic told him it lasts a life time and that it's pointless, and he believed him and trucked on. I asked him if it made noise and if it did when did it begin and he said the diff was silent until around 360k but he just kept driving it anyway. Never cared to change the oil and it still lasted a ton.