composer steering: the general steering machinery (owner arc 2026-10-03)

STEERING, NOT FOLLOW-UPS — pi-agent-core's two rails, used deliberately:
agent.steer() injects at the next response boundary INSIDE the live run
(one logical turn, the model changes course); followUp() would only extend
an ended run — not built. The same rail job markers already ride
(steeringMode 'all', the 2026-09-26 doctrine).

- POST /api/chats/[id]/steer: 404/400 honest guards; no live turn → 409
  and the client silently falls back to a plain text send (the settle
  race); live → steerLiveChat hands the message to the live agent's
  steering queue AND parks it in the userSteers registry — the stranding
  safety net. A steer stranded behind a question termination or abort
  stays parked and rides the chat's NEXT run (handOffEligible), the same
  deliver-or-requeue lifecycle as job markers. Reconciliation at settle:
  delivered ids drop (reconcileUserSteers).
- Client: steer(text) queues + POSTs without flipping any turn state;
  the drain's verbatim message events upsert the real user card by the
  client-minted id (steer_<localid>) and the indicator fold drops the
  line. canSend no longer gates on turnInFlight — Enter mid-turn steers;
  Enter with an empty composer still stops; the square button stays Stop.
- The queued-steer indicator (owner spec): quiet one-liners above the
  composer shell — right-aligned to where its corner rounding starts,
  truncated with an ellipsis, fixed max width, ~half opacity, no
  background, no container. Tunable later.
- Verified from pi-agent-core source: steering drains per completed turn
  inside the loop; injected messages emit message_start/end verbatim;
  finishTurn {action:'end'} (our question stopper) exits BEFORE the
  steering poll — hence the registry.

components/session.ts

@@ -88,6 +88,7 @@ export function useChatSession({ chatId, initialMessages, initiallyInFlight }: U
 	);
 
 	const send = useCallback((input: ChatInput) => void model.send(input), [model]);
+	const steer = useCallback((text: string) => void model.steer(text), [model]);
 	const submitAnswer = useCallback(
 		(tool: string, toolCallId: string, output: QuestionAnswerData) =>
 			void model.submitAnswer(tool, toolCallId, output),
@@ -108,7 +109,9 @@ export function useChatSession({ chatId, initialMessages, initiallyInFlight }: U
 		nativeMessages: state.nativeMessages,
 		status: state.status,
 		error: state.error,
+		steerQueue: state.steerQueue,
 		send,
+		steer,
 		submitAnswer,
 		dismissQuestion,
 		setMessages,