The live-message push now carries both parties, so an incoming message opens
that conversation's dock window if it's closed, or flashes it once if it's
already open (expanded or minimised, without disturbing the minimised state) —
only for messages from someone else, never your own echo.
Dock state (open windows + minimised state) is persisted per user, so a reload
restores exactly what was open, minimised, or closed.
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