Opening a Bot Mode group chat painted the room twice — once as a main-window
workspace tab (host.openWorkspace) and once as the in-panel fallback, because
the Bots pane rendered off $groupChatWorkspace alone. Two live panes with
independent drafts drove one shared engine, and the roster disappeared behind
the duplicate.
The in-panel room is the fallback surface, not a second copy: it now renders
only while no main tab owns the group. The selection atom stays set either way
so the roster row still highlights, and desktops without the door — or whose
door throws — keep the in-pane room.
Consolidates #89881, #90274 and #90398, which fixed the same bug.
Closes#89788
Co-authored-by: helix4u <helix4u@users.noreply.github.com>
Teknium
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