fix(rectification): stop speaking unstampable distinguish stems (BUG-674/675)

Distinguish followups that cannot stamp a probe now go to persistExhaustionCollect instead of repeating the card stem in the assistant body. Choice focuses without asked_turn_id hang on the last assistant turn, and persisted_question with a live choice_card renders the existing card. Representative-time inconsistency is warn-only (BUG-676 investigating).

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

@@ -69,6 +69,7 @@ import {
   caseStageFromSnapshot,
   interviewCollectWaiting,
   interviewChoiceCardUnavailable,
+  persistedQuestionSurface,
   interviewStopReasonFromSnapshot,
   interviewSessionOutcomeFromSnapshot,
   type RectificationCaseSnapshotPayload,
@@ -1868,7 +1869,27 @@ export function RectificationAgenticChat(props: RectificationAgenticChatProps) {
           {questionGap === "persisted_question" && currentQuestion?.prompt && (
             <div className="rectification-message-wrap rectification-message-entry" data-testid="persisted-question">
               <div className="rectification-message-question">
-                <p className="rectification-message-question__prompt">{currentQuestion.prompt}</p>
+                {persistedQuestionSurface({
+                  questionKind: currentQuestion.kind,
+                  hasChoiceCard: Boolean(choiceCard),
+                  questionPersisted: true,
+                }) === "choice_card" && choiceCard ? (
+                  <>
+                    <p className="rectification-message-question__prompt">{currentQuestion.prompt}</p>
+                    <RectificationChoiceCard
+                      key={`${choiceCard.question_id}:${choiceNonce}:persisted`}
+                      variant="embedded"
+                      card={choiceCard}
+                      pending={busy}
+                      disabled={busy || readonly}
+                      selectedKey=""
+                      onSelect={submitChoice}
+                      onStop={submitStop}
+                    />
+                  </>
+                ) : (
+                  <p className="rectification-message-question__prompt">{currentQuestion.prompt}</p>
+                )}
               </div>
             </div>
           )}