Pines generally do not like both top prune and root prune close together.
We tend to do one or the other and then follow up with the remainder of the work later in the year or the following year.
I find Spring is no problem for either top prune or repot. I haven't tried repot for Mugho in late Sumer but I've seen plenty of reliable growers doing it so must be OK.
I'd probably repot now, let the tree recover through summer and top prune either end of summer or next spring. Your colder climate may require different timing.
How much of roots are you planning to remove when repotting? How far back are you planning to cut the branches?
You need to be aware that Mugho is what we call a single flush pine species which means it only grows once in Spring. If pruned after the Spring flush the tree will usually produce buds but they won't open and grow until the following Spring.