Typing into the composer while the agent was streaming lost the draft once
the turn finished: on a brand-new chat, adopting the freshly created chat id
changes ChatThread's key and remounts it, wiping ChatInput's local state.
Lift the composer draft into a module-level jotai atom (aiChatDraftAtom) so it
survives the remount. Reset it only on deliberate chat switches — startNewChat,
selectChat, and the page-history "AI agent" badge deep-link — so a draft never
leaks between conversations, while adoption (which goes through a useEffect)
preserves it.
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