fix(rectification): keep choice stems visible and align overlay adopt with the engine

Walkthrough polish: fail-closed empty D9 prompts, stop asserting the next question is on screen, vary same-domain collect copy, switch to reverse-verify after adopt, and let coverage route interview without blocking can_adopt.

Co-authored-by: Cursor <cursoragent@cursor.com>

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

@@ -1142,6 +1142,7 @@ export function RectificationAgenticChat(props: RectificationAgenticChatProps) {
             const vargaSentence = !message.failed
               ? vargaSentenceFromMethods(message.completedReceipt?.methods)
               : null;
+            const isLatestMessage = message.renderKey === messages[messages.length - 1]?.renderKey;
             return (
               <div key={message.renderKey} className="rectification-message-wrap rectification-message-entry">
                 {(!message.failed || Boolean(displayedMessage.text) || regenerating) && (
@@ -1185,9 +1186,40 @@ export function RectificationAgenticChat(props: RectificationAgenticChatProps) {
                     onStop={submitStop}
                   />
                 )}
+                {isLatestMessage && (
+                  <section className="rectification-question-slot" aria-label="当前问题">
+                    {showLiveChoiceCard && choiceCard && (
+                      <RectificationChoiceCard
+                        key={`${choiceCard.question_id}:${choiceNonce}`}
+                        card={choiceCard}
+                        pending={busy}
+                        disabled={readonly}
+                        selectedKey=""
+                        onSelect={submitChoice}
+                        onStop={submitStop}
+                      />
+                    )}
+                    {collectSpokenPrompt && !showLiveChoiceCard && !readonly && (
+                      <p id={collectSpokenPromptId} className="rectification-question-slot__prompt">
+                        {collectSpokenPrompt}
+                      </p>
+                    )}
+                    {showMissingQuestion && (
+                      <p className="rectification-question-slot__status" role="status">
+                        当前没有可回答的问题，正在等待服务端更新。
+                      </p>
+                    )}
+                    {showUnavailableQuestion && (
+                      <p className="rectification-question-slot__status" role="status">
+                        当前问题暂时无法显示，请等待服务端更新。
+                      </p>
+                    )}
+                  </section>
+                )}
               </div>
             );
           })}
+          {messages.length === 0 && (
           <section className="rectification-question-slot" aria-label="当前问题">
             {showLiveChoiceCard && choiceCard && (
               <RectificationChoiceCard
@@ -1216,6 +1248,7 @@ export function RectificationAgenticChat(props: RectificationAgenticChatProps) {
               </p>
             )}
           </section>
+          )}
           {savedTime && savedStatus === "confirmed" && (
             <p className="rectification-saved" role="status">
               已确认校正时间：{savedTime}