fix(web): 账户弹窗移出 inert；校正快照失败不再静默（BUG-968/969）

账户弹窗与入门付费墙 portal 到 document.body，SidebarInset 的 inert 不再罩住弹窗。
GET 校正快照每个非 200 打 JSON warn；客户端失败显示「这一问还没读到」和重新读取。
下一题是可渲染选择题时，确定性回复正文带题干，挂卡后去重。

frontend/src/app/api/rectification/cases/[caseId]/route.ts

@@ -1,6 +1,7 @@
 import { NextResponse } from "next/server";
 import { z } from "zod";
 import { jsonForSupabaseSetupFailure } from "@/lib/api/service-unavailable";
+import { warnRectificationCaseGet } from "@/lib/rectification-case-get-log";
 import { createAdminSupabaseClient } from "@/lib/supabase/admin";
 import { withRectificationRequestCache } from "@/lib/rectification-agentic/v9/request-cache";
 import { createServerSupabaseClient } from "@/lib/supabase/server";
@@ -10,6 +11,7 @@ import {
   loadV9TurnReceipt,
   RectificationToolServiceError,
   listV10ConversationFocuses,
+  safeToolErrorCode,
 } from "@/lib/rectification-agentic/v9/tool-service";
 import { dossierResponse } from "@/lib/rectification-agentic/v9/case-dossier-response";
 
@@ -25,26 +27,49 @@ type RouteContext = { params: Promise<{ caseId: string }> };
  * The browser restores real history from here; it never reconstructs history
  * from candidate text or local sentinels.
  */
+function failedCaseGet(
+  caseId: string,
+  status: number,
+  body: Record<string, unknown>,
+  reason: string,
+) {
+  warnRectificationCaseGet({
+    caseId,
+    status,
+    code: typeof body.code === "string" ? body.code : `http_${status}`,
+    reason,
+  });
+  return NextResponse.json(body, { status });
+}
+
 export async function GET(request: Request, context: RouteContext) {
+  const { caseId } = await context.params;
+  const caseIdSafe = z.string().uuid().safeParse(caseId).success ? caseId : "";
   let supabase;
   let accounting;
   try {
     supabase = await createServerSupabaseClient();
     accounting = withRectificationRequestCache(createAdminSupabaseClient());
   } catch (error) {
-    return jsonForSupabaseSetupFailure(error, "GET /api/rectification/cases/[caseId]");
+    const response = jsonForSupabaseSetupFailure(error, "GET /api/rectification/cases/[caseId]");
+    warnRectificationCaseGet({
+      caseId: caseIdSafe,
+      status: response.status,
+      code: "service_unavailable",
+      reason: safeToolErrorCode(error),
+    });
+    return response;
   }
   const {
     data: { user },
     error: authError,
   } = await supabase.auth.getUser();
   if (authError || !user) {
-    return NextResponse.json({ error: "请先登录" }, { status: 401 });
+    return failedCaseGet(caseIdSafe, 401, { error: "请先登录" }, authError ? safeToolErrorCode(authError) : "unauthenticated");
   }
 
-  const { caseId } = await context.params;
-  if (!z.string().uuid().safeParse(caseId).success) {
-    return NextResponse.json({ error: "请求内容不正确", code: "invalid_case_id" }, { status: 400 });
+  if (!caseIdSafe) {
+    return failedCaseGet(caseId, 400, { error: "请求内容不正确", code: "invalid_case_id" }, "invalid_case_id");
   }
   const searchParams = new URL(request.url).searchParams;
   const sessionId = searchParams.get("sessionId") ?? "";
@@ -53,7 +78,12 @@ export async function GET(request: Request, context: RouteContext) {
   try {
     const dossier = await loadV9CaseDossier(accounting, user.id, caseId);
     if (sessionId && dossier.case.sessionId !== sessionId) {
-      return NextResponse.json({ error: "校正记录与会话绑定不一致", code: "case_session_mismatch" }, { status: 409 });
+      return failedCaseGet(
+        caseId,
+        409,
+        { error: "校正记录与会话绑定不一致", code: "case_session_mismatch" },
+        "case_session_mismatch",
+      );
     }
     const skillIdentity = await loadV9CaseSkillIdentityStatus(accounting, user.id, caseId);
     const receipts = await Promise.all(
@@ -71,12 +101,19 @@ export async function GET(request: Request, context: RouteContext) {
     if (error instanceof RectificationToolServiceError) {
       const message = error.message;
       if (message.includes("agentic_rectification_case_not_found")) {
-        return NextResponse.json({ error: "校正记录不存在或无权访问", code: "case_not_found" }, { status: 404 });
+        return failedCaseGet(
+          caseId,
+          404,
+          { error: "校正记录不存在或无权访问", code: "case_not_found" },
+          safeToolErrorCode(error),
+        );
       }
     }
-    return NextResponse.json(
+    return failedCaseGet(
+      caseId,
+      503,
       { error: "暂时无法读取校正记录", code: "rectification_service_failed" },
-      { status: 503 },
+      safeToolErrorCode(error),
     );
   }
 }