Good pasture Shade Trees that goats wont distroy

SLC, UT. Utah county zone 6
I want to plant some good shade trees on the west side of my pasture, but inside the property, which will put them inside the pasture.
are there any good shade trees that goats wont destroy?
Also an option was planting fodder trees like ash, willow or alder, but with that will the goats eat the bark and kill the tree, or will they leave them alone if they are a certain size in caliper?

No, I’ve had goats kill sagebrush.

I can't think of any trees that goats wouldn't eat when the trees are still small. It's what they're designed to do! Ours will strip the bark off of most trees under 10" round. You have to fence off anything you don't want them to browse for several years so it can get established and then monitor it to make sure it doesn't get over-browsed. Once the trees are big they are much less likely to be damaged by goats.