When an agent turn finishes while the user is viewing a different
session, the sidebar now shows a steady green dot on that session —
distinct from the blue pulsing dot of a running turn and the gray dot
of an idle one. Opening the session clears the indicator.
The unread state is ephemeral renderer-side state, matching the
existing $workingSessionIds and $attentionSessionIds pattern: no
persistence, no backend involvement, wiped on gateway-mode switch.
Co-authored-by: liuhao1024 <liuhao1024@users.noreply.github.com>
Co-authored-by: dschnurbusch <dschnurbusch@users.noreply.github.com>
Co-authored-by: Flow Digital Inc. <flow-digital-ny@users.noreply.github.com>
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