- Host test switches AI Provider from chat Settings through the real
provider commands and checks the new mount keeps chat's context, frame,
Back to chat and focus on the provider choice.
- Drop the open and minimized branches of the carried presentation: the
provider choice lives only in Settings, so chat is never open then.
- One showChatSettings helper for the gear and the restore, and one
isStoppable helper for the live-or-error check in chat and the panel close.
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