At launch nothing is in memory yet, so the badge showed offline even with a
recent QSO. liveLastQSOTime is now authoritative: it takes the most recent of
the in-memory stamp AND the DB (this operator's last QSO — covers a contact
from the shared logbook or one logged before launch), used by both the
published status and the badge. The badge polls the backend every 5 s (down
from 15) and on each qso:logged, so it shows on air within a few seconds and
flips online instantly on a new contact.