Status should report enough info to determine region state of each machine/process

It's useful to be able to know if a process is in the primary region, a remote region, a primary satellite, remote satellite, etc. If I understand correctly, it is currently difficult to tell which of these regions some processes are in if they are in a datacenter that has processes serving as multiple of these regions (e.g. a single datacenter is a remote and a remote satellite). There may be other situations where it's difficult to tell as well.

We should update status to make it clear in what capacity a process is serving. Somewhat related to #2734.

Start by reviewing the existing status output and the related discussion in issue #2734. Define how status should identify whether each machine or process serves the primary region, remote region, primary satellite, or remote satellite, including datacenters serving multiple capacities; done means these roles are unambiguous.

Written by the indexing model from the issue text.