...rather than Space.NumFreeAddressesInRange; we don't care about the
universe.
Alternatively we could make Space.AddRanges return the count. But
AddRanges doesn't know whether the ranges overlap with existing free
space - that is only guaranteed by the context - so would have to do
much the same before/after calculation.
Another alternative would be to add the range sizes in
AdminTakeoverRanges. But that is more code and less clear.