`hermes gateway status`, `hermes gateway list`, `hermes profile list/show`
and the dashboard profiles payload keyed liveness off the profile's own
gateway.pid / gateway_state.json, so a satellite profile served by the
default multiplexer (gateway.multiplex_profiles) showed "not running"
even though the multiplexer is its live inbound process.
Reuse the single lookup the start guard and cron liveness already share —
named_profile_served_by_running_multiplexer() — with an optional
profile_name so list surfaces can ask about any profile, and OR it into
gateway_running for named profiles. Default profile and unserved named
profiles are unchanged.
Salvage of #69118 rebased onto the shared helper (which post-dates it).
Co-authored-by: Isaac Dobson <isaac@dobsonheadlights.com>
Co-authored-by: Mushisushi28 <133449918+Mushisushi28@users.noreply.github.com>
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