@@ -0,0 +1,17 @@
+---
+'@object-ui/app-shell': patch
+'@object-ui/plugin-chatbot': patch
+'@object-ui/i18n': patch
+---
+
+fix(app-shell,plugin-chatbot,i18n): the AI build page's preview header names the app by its label and says what the build card says about publishing; the progress panel shows labels
+
+Clause-②: no
+Metadata-protocol: none
+
+- **Preview header.** The Live Canvas header named the app by its machine name and said "unlisted until published" (「未发布 · 仅自己可见」) for any materialized build, even one the build card beside it called live, and never changed. It now reads the build card's own answer: the label the card names the app by (`checklist.app.label`, else the build's label) and whether the card says the app is live. A live build reads "Live app — LABEL" (「运行预览 · LABEL」), and the header follows the card when the build is published. A materialized build the card does not call live keeps the unlisted note.
+- **`ChatbotEnhanced`.** New optional prop `onBuildResult({ appName, label, live })`, fired by a build card when it has an app and again when its label or live state changes. Additive; hosts that do not pass it see no change.
+- **Listed materialized builds are live.** A build envelope that says `materialized: true` and `appHidden: false` (the app is already listed, ADR-0045 publish = live and visible) now reads "Built and live" on the card. The draft review carries `appHidden` when the envelope says it.
+- **Progress items.** `ChatBuildProgress.items` entries gain an optional `label`; the panel shows it in place of the machine name, and falls back to the name when a frame carries none.
+- **Footnote.** The finished card's posture line names Publish in the chat instead of Studio, in every shipped locale.
+- **i18n.** New key `console.ai.liveCanvasLive` in every locale; `chatbot.build.draftPosture` reworded.
@@ -1831,9 +1831,26 @@ export function ChatPane({
         : prev ?? { name: appName, materialized: true },
     );
   }, []);
+  // The chat's build card's own answer per built app (its label and whether it
+  // says the app is live), keyed by the app's machine name. The canvas header
+  // reads it instead of deriving a publish state of its own, so the two can
+  // never disagree, and it follows the card when the build is published.
+  const [buildResults, setBuildResults] = useState<Record<string, { label?: string; live: boolean }>>({});
+  const handleBuildResult = useCallback(
+    ({ appName, label, live }: { appName: string; label?: string; live: boolean }) => {
+      setBuildResults((prev) => {
+        const cur = prev[appName];
+        if (cur && cur.label === label && cur.live === live) return prev;
+        return { ...prev, [appName]: { ...(label ? { label } : {}), live } };
+      });
+    },
+    [],
+  );
+  const canvasBuild = canvasApp ? buildResults[canvasApp.name] : undefined;
   // A different conversation is a different build session — close the pane.
   useEffect(() => {
     setCanvasApp(null);
+    setBuildResults({});
   }, [conversationId]);
 
   const activeAgentLabel = useMemo<string>(() => {
@@ -2896,6 +2913,7 @@ export function ChatPane({
         // ADR-0045: build materialized → canvas leaves the draft overlay for
         // the real (unlisted) app; the reload shows live seed rows.
         onBuildMaterialized={handleBuildMaterialized}
+        onBuildResult={handleBuildResult}
         // objectui#11666 — mirrored onto the assistant bus (effect above).
         onPlanApprovalPendingChange={setPlanApprovalPending}
         previewDraftLabel={t('console.ai.previewDraft', { defaultValue: 'Preview' })}
@@ -2932,6 +2950,8 @@ export function ChatPane({
           </div>
           <LiveCanvas
             appName={canvasApp!.name}
+            appLabel={canvasBuild?.label}
+            live={canvasBuild?.live}
             appSegment={canvasApp!.segment}
             materialized={canvasApp!.materialized}
             path={canvasApp!.path}
@@ -2957,6 +2977,8 @@ export function ChatPane({
         >
           <LiveCanvas
             appName={canvasApp.name}
+            appLabel={canvasBuild?.label}
+            live={canvasBuild?.live}
             appSegment={canvasApp.segment}
             materialized={canvasApp.materialized}
             path={canvasApp.path}
 
@@ -0,0 +1,57 @@
+/**
+ * ObjectUI
+ * Copyright (c) 2024-present ObjectStack Inc.
+ *
+ * objectstack#26469 — the Live Canvas header names the app by the label the
+ * chat's build card uses and says what the card says about publishing: a
+ * build the card calls live carries no 「未发布 · 仅自己可见」, a materialized
+ * build the card does not call live keeps it. Rendered through the shipped zh
+ * pack, since the wording is the point.
+ */
+import '@testing-library/jest-dom/vitest';
+import { describe, it, expect } from 'vitest';
+import { render, screen } from '@testing-library/react';
+import { MemoryRouter } from 'react-router-dom';
+import { I18nProvider } from '@object-ui/i18n';
+import { LiveCanvas, type LiveCanvasProps } from './LiveCanvas';
+
+function renderZh(props: Partial<LiveCanvasProps>) {
+  render(
+    <MemoryRouter>
+      <I18nProvider config={{ defaultLanguage: 'zh', detectBrowserLanguage: false }}>
+        <LiveCanvas
+          appName="home_renovation_management"
+          appSegment="app.u9ba"
+          refreshKey={0}
+          onClose={() => {}}
+          {...props}
+        />
+      </I18nProvider>
+    </MemoryRouter>,
+  );
+  return screen.getByTestId('live-canvas').firstElementChild as HTMLElement;
+}
+
+describe('LiveCanvas header — the build card is the source (objectstack#26469)', () => {
+  it('a published build: the label, and no 未发布 badge', () => {
+    const header = renderZh({ appLabel: '家装项目管理', materialized: true, live: true });
+    expect(header).toHaveTextContent('运行预览 · 家装项目管理');
+    expect(header).not.toHaveTextContent('未发布');
+    expect(header).not.toHaveTextContent('home_renovation_management');
+  });
+
+  it('a materialized build the card does not call live keeps the 未发布 badge', () => {
+    const header = renderZh({ appLabel: '家装项目管理', materialized: true });
+    expect(header).toHaveTextContent('运行预览 · 家装项目管理(未发布 · 仅自己可见)');
+  });
+
+  it('without a label the header falls back to the machine name', () => {
+    const header = renderZh({ materialized: true, live: true });
+    expect(header).toHaveTextContent('运行预览 · home_renovation_management');
+  });
+
+  it('a draft preview stays a draft preview, by label', () => {
+    const header = renderZh({ appLabel: '家装项目管理' });
+    expect(header).toHaveTextContent('草稿预览 · 家装项目管理');
+  });
+});
@@ -26,8 +26,19 @@ import { Button } from '@object-ui/components';
 import { useObjectTranslation } from '@object-ui/i18n';
 
 export interface LiveCanvasProps {
-  /** The drafted app to render (its `app` metadata name) — used for display. */
+  /** The drafted app to render (its `app` metadata name). */
   appName: string;
+  /**
+   * The app's display label, as the chat's build card names it
+   * (`checklist.app.label`). The header shows it in place of `appName`.
+   */
+  appLabel?: string;
+  /**
+   * The chat's build card says the app is live (published). The header then
+   * names the app as live and drops the unlisted note, whatever
+   * `materialized` says — the card is the one source of the publish state.
+   */
+  live?: boolean;
   /**
    * ADR-0048: the app's ROUTE SEGMENT — its package id (`app.<slug>`), which is
    * globally unique, unlike the display name (two AI apps can both be `library`).
@@ -73,12 +84,22 @@ function canvasSrc(appName: string, materialized: boolean, path?: string): strin
   return path ? `${spaBase()}${path}` : `${base}?preview=draft`;
 }
 
-export function LiveCanvas({ appName, appSegment, materialized = false, path, refreshKey, onClose }: LiveCanvasProps) {
+export function LiveCanvas({
+  appName,
+  appLabel,
+  live = false,
+  appSegment,
+  materialized = false,
+  path,
+  refreshKey,
+  onClose,
+}: LiveCanvasProps) {
   const { t } = useObjectTranslation();
   const navigate = useNavigate();
   const iframeRef = useRef<HTMLIFrameElement | null>(null);
   // Route on the package-id segment (unique), display by name (friendly).
   const routeSeg = appSegment && appSegment.length ? appSegment : appName;
+  const displayName = appLabel || appName;
   // Materialized world swap: changing src on the SAME iframe element
   // navigates it in place (no white-flash remount).
   useEffect(() => {
@@ -108,15 +129,20 @@ export function LiveCanvas({ appName, appSegment, materialized = false, path, re
       <div className="flex shrink-0 items-center gap-2 border-b bg-muted/30 px-3 py-1.5 text-xs text-muted-foreground">
         <Eye className="h-3.5 w-3.5" />
         <span className="min-w-0 flex-1 truncate">
-          {materialized
-            ? t('console.ai.liveCanvasUnlisted', {
-                app: appName,
-                defaultValue: 'Live app — {{app}} (unlisted until published)',
+          {live
+            ? t('console.ai.liveCanvasLive', {
+                app: displayName,
+                defaultValue: 'Live app — {{app}}',
               })
-            : t('console.ai.liveCanvas', {
-                app: appName,
-                defaultValue: 'Live preview — {{app}} (draft)',
-              })}
+            : materialized
+              ? t('console.ai.liveCanvasUnlisted', {
+                  app: displayName,
+                  defaultValue: 'Live app — {{app}} (unlisted until published)',
+                })
+              : t('console.ai.liveCanvas', {
+                  app: displayName,
+                  defaultValue: 'Live preview — {{app}} (draft)',
+                })}
         </span>
         {/* Bridge to the design surface — this pane is the RUNNING app, so the
             builder needs an explicit way to jump into the Studio designer to
@@ -149,7 +175,7 @@ export function LiveCanvas({ appName, appSegment, materialized = false, path, re
       </div>
       <iframe
         ref={iframeRef}
-        title={`Draft preview: ${appName}`}
+        title={`Draft preview: ${displayName}`}
         src={canvasSrc(routeSeg, materialized, path)}
         className="h-full w-full flex-1 border-0 bg-background"
         data-testid="live-canvas-frame"