fix(chat): keep rectification sessions findable and keep the delivery card

Rectification answers now advance chat_sessions.updated_at (BUG-704).
A ?c= id missing from the loaded page is fetched before anyone may call
it deleted (BUG-705). The range card no longer has a post-card tie-break
button; live questions leave the card visible with adopt locked
(BUG-706/708). Spoken copy bans 相对支持度 (BUG-709).

Task docs assigned 700-704; qizheng already took 700-703.

frontend/src/components/rectification-agentic-chat.tsx

@@ -97,7 +97,7 @@ import {
   stableChoiceActionKey,
   type ChoiceOptionId,
 } from "@/lib/rectification-agentic/v9/choice-action";
-import { RECTIFICATION_USER_COPY, postAdoptVerifyDoneCopy } from "@/lib/rectification-agentic/user-copy";
+import { postAdoptVerifyDoneCopy } from "@/lib/rectification-agentic/user-copy";
 import { isRectificationCaseStatus, isResumableStatus, type RectificationCaseStatus } from "@/lib/rectification-agentic/v9/case-status";
 import { CHOICE_MODE, CHOICE_SKIP_QUESTION_LABEL, CHOICE_SKIP_QUESTION_MESSAGE, CHOICE_STOP_LABEL, CHOICE_STOP_MESSAGE, isPersistedFocusId, parseRectificationChoiceCard, type ChoiceKey, type RectificationChoiceCard as ChoiceCardModel } from "@/lib/rectification-agentic/v9/choice-card";
 import type { PublicLanguageModel } from "@/lib/public-models";
@@ -1343,45 +1343,6 @@ export function RectificationAgenticChat(props: RectificationAgenticChatProps) {
     }
   }, [acceptingCandidateId, beginLiveRun, busy, candidateResult, caseId, loadCaseSnapshot, onCompleted, onSaved, readonly, send, sessionId, setPending]);
 
-  const requestTieBreak = useCallback(async () => {
-    if (!candidateResult || acceptingCandidateId || busy || readonly) return;
-    if (!candidateResult.rangeDelivery?.tie_break_available) return;
-    setError("");
-    setPending(true);
-    try {
-      const response = await fetch(
-        `/api/rectification/cases/${encodeURIComponent(caseId)}/tie-break`,
-        {
-          method: "POST",
-          headers: { "content-type": "application/json" },
-          body: JSON.stringify({
-            sessionId,
-            requestId: globalThis.crypto.randomUUID(),
-          }),
-        },
-      );
-      const payload = await response.json().catch(() => null);
-      if (payload?.code === "tie_break_unavailable") {
-        await loadCaseSnapshot();
-        return;
-      }
-      if (!response.ok || payload?.ok !== true) {
-        throw new Error(payload?.error || payload?.message || "暂时无法开始参考题");
-      }
-      await loadCaseSnapshot((turns) => {
-        setMessages((current) => applySnapshotTurnsToMessages(
-          current,
-          turns,
-          (incoming) => messagesFromTurns(incoming as readonly PersistedTurn[]),
-        ));
-      });
-    } catch (caught) {
-      setError(caught instanceof Error ? caught.message : "暂时无法开始参考题");
-    } finally {
-      setPending(false);
-    }
-  }, [acceptingCandidateId, busy, candidateResult, caseId, loadCaseSnapshot, readonly, sessionId, setPending]);
-
   async function copyMessage(message: RenderMessage) {
     try {
       await navigator.clipboard.writeText(copyTextForMessage(message.text, message.question));
@@ -1509,15 +1470,19 @@ export function RectificationAgenticChat(props: RectificationAgenticChatProps) {
   const keepSelectionCardsWhileBusy = Boolean(
     acceptingCandidateId || candidateResult?.selectedTime,
   );
+  const liveInterviewBlockingAdopt = Boolean(
+    candidateResult
+    && !candidateResult.selectedTime
+    && messages.some((message) => (
+      interviewQuestionBlocksAdoptOffer(message.question, false)
+    )),
+  );
   const showSelectionCards = Boolean(
     candidateResult
     && caseSnapshotLoaded
     && (!busy || keepSelectionCardsWhileBusy)
     && selectionCardMessageKey
     && (canOfferCards || Boolean(candidateResult.selectedTime))
-    && !messages.some((message) => (
-      interviewQuestionBlocksAdoptOffer(message.question, Boolean(candidateResult.selectedTime))
-    )),
   );
   const showReadonlyRange = Boolean(
     canShowRectificationReadonlyRange(candidateResult)
@@ -1843,7 +1808,7 @@ export function RectificationAgenticChat(props: RectificationAgenticChatProps) {
                       acceptingCandidateId={acceptingCandidateId}
                       readonly={readonly || regeneratingMessageKey !== null || (busy && !acceptingCandidateId)}
                       onAccept={(candidateId) => void acceptCandidate(candidateId)}
-                      onTieBreak={() => void requestTieBreak()}
+                      adoptLocked={liveInterviewBlockingAdopt}
                     />
                     {verifiedIdleCopy && (
                       <p className="rectification-pending-note" role="status">