fix(web): isolate rectification answers from tool-step planning text

Mastra intermediate text-delta was published as answer.delta, then set-focus domain errors reset the attempt and replayed evidence. Publish only the terminal no-tool step, persist the next probe on the server, and ground batch quotes in the source turn.

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

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

@@ -14,7 +14,7 @@ import { loadRuntimeFeatureFlags } from "@/lib/feature-flags";
 import { isProductEnabled } from "@/lib/product-access";
 import { resolveSessionLanguageModel } from "@/lib/model-catalog";
 import { createAdminSupabaseClient } from "@/lib/supabase/admin";
-import { createServerSupabaseClient } from "@/lib/supabase/server";
+import { defaultMessageOrigin, isRectificationMessageOrigin } from "@/lib/rectification-agentic/v9/message-origin";
 
 export const runtime = "nodejs";
 export const maxDuration = 120;
@@ -31,6 +31,15 @@ const agentRequestSchema = z.object({
   probeId: z.string().trim().min(1).max(200).nullable().optional(),
   optionId: z.enum(["A", "B", "C", "D"]).optional(),
   expectedRevision: z.number().int().min(0).max(10_000).optional(),
+  origin: z.enum([
+    "typed",
+    "suggestion_click",
+    "choice_click",
+    "voice_input",
+    "retry_replay",
+    "system_recovery",
+  ]).optional(),
+  clientActionId: z.string().uuid().optional(),
 }).strict();
 
 function actionToBudget(action: "opening" | "message" | "read_only"): RectificationAgentAction {
@@ -346,6 +355,10 @@ export async function POST(request: Request) {
           requestId,
           action: actionToBudget(action),
           message: action === "message" ? parsed.data.message ?? "" : null,
+          messageOrigin: isRectificationMessageOrigin(parsed.data.origin)
+            ? parsed.data.origin
+            : defaultMessageOrigin(action),
+          clientActionId: parsed.data.clientActionId ?? requestId,
           modelName: selectedModel.id,
           skillName: RECTIFICATION_SKILL_NAME,
           skillVersion: skillVersion || RECTIFICATION_SKILL_VERSION,