fix(rectification): close non-converging range offer without an exit

When coverage still blocks adopt and no renderable discriminator remains, narrate the numeric range and persist a spoken collect instead of promising a time card that cannot be clicked. Recompute probe information gain on active candidates and drop zero-split probes explicitly.

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

frontend/src/app/api/rectification/agent/route.ts

@@ -39,13 +39,11 @@ import {
 } from "@/lib/rectification-agentic/v9/turn-intent-classifier";
 import { persistServerOwnedFocus, openQuestionFromPersistedFocus, isCollectFocusSchema, isRenderableChoiceOpenQuestion } from "@/lib/rectification-agentic/v9/server-focus";
 import { buildMethodFollowupPlan } from "@/lib/rectification-agentic/v9/method-followup";
-import { isNonConvergingRangeOffer } from "@/lib/rectification-agentic/core/rectification-decision";
+import { isNonConvergingRangeOffer, nonConvergingRangeNarration } from "@/lib/rectification-agentic/core/rectification-decision";
 
 export const runtime = "nodejs";
 export const maxDuration = 240;
 
-export const DISCRIMINATOR_EXHAUSTED_NARRATION = "可以先按当前区间看盘，也可以再补一件记得时间的经历";
-
 function completedMessageResponse(text: string, requestId: string, caseId: string) {
   const body = [
     JSON.stringify({ type: "answer.delta", text }),
@@ -436,12 +434,14 @@ export async function POST(request: Request) {
         }
         const decision = decideFromDossier(dossier, { birthDate });
         if (isNonConvergingRangeOffer(decision)) {
+          const idle = await persistNextInterviewIfIdle({ accounting, userId, caseId });
+          const assistantMessage = idle.hostNarration || nonConvergingRangeNarration(decision);
           await persistV9DeterministicTurn(accounting, userId, caseId, {
             requestId,
             userMessage: parsed.data.message ?? null,
-            assistantMessage: DISCRIMINATOR_EXHAUSTED_NARRATION,
+            assistantMessage,
           });
-          return completedMessageResponse(DISCRIMINATOR_EXHAUSTED_NARRATION, requestId, caseId);
+          return completedMessageResponse(assistantMessage, requestId, caseId);
         }
         if (decision.nextAction === "ask_candidate_discriminator") {
           const catalog = rectificationFollowupCatalog(
@@ -509,12 +509,14 @@ export async function POST(request: Request) {
             return completedMessageResponse(narration, requestId, caseId);
           }
           if (!plan.next_followup) {
+            const idle = await persistNextInterviewIfIdle({ accounting, userId, caseId });
+            const assistantMessage = idle.hostNarration || nonConvergingRangeNarration(decision);
             await persistV9DeterministicTurn(accounting, userId, caseId, {
               requestId,
               userMessage: parsed.data.message ?? null,
-              assistantMessage: DISCRIMINATOR_EXHAUSTED_NARRATION,
+              assistantMessage,
             });
-            return completedMessageResponse(DISCRIMINATOR_EXHAUSTED_NARRATION, requestId, caseId);
+            return completedMessageResponse(assistantMessage, requestId, caseId);
           }
         }
       }