Add active outreach funnel dashboard

tests/dashboard/app.test.tsx

@@ -79,7 +79,7 @@ describe('dashboard foundation', () => {
     const { router } = renderDashboard('/');
 
     const navigation = screen.getByRole('navigation', { name: 'Primary navigation' });
-    for (const label of ['Overview', 'Needs attention', 'Conversations', 'Media', 'Performance', 'Operations', 'Settings']) {
+    for (const label of ['Overview', 'Needs attention', 'Outreach funnel', 'Conversations', 'Media', 'Performance', 'Operations', 'Settings']) {
       expect(within(navigation).getByRole('link', { name: label })).toBeInTheDocument();
     }
 
@@ -109,6 +109,43 @@ describe('dashboard foundation', () => {
     expect(screen.getByRole('link', { name: 'Open conversation' })).toHaveAttribute('href', '/conversations/%40one%3Areddit.com~!room%3Areddit.com');
   });
 
+  it('shows the live outreach stages and the potential posts being burned down', async () => {
+    installSuccessfulApi();
+    server.use(
+      http.get('/api/login/status', () => HttpResponse.json({ ready: true, loggedIn: true, status: 'authenticated' })),
+      http.get('/api/chats/sync', () => HttpResponse.json({
+        syncing: false, syncingKind: null, lastFullSyncAt: null, lastDeltaSyncAt: null,
+        hasEverFullSynced: false, cachedChats: 0, progress: null,
+      })),
+      http.get('/api/outreach', () => HttpResponse.json({
+        generatedAt: Date.parse('2026-08-09T08:00:00Z'),
+        activeCount: 3,
+        stages: { discovered: 1, screening: 0, ready: 1, sending: 0, retryable: 1 },
+        outcomes: { sent: 12, rejected: 7 },
+        oldestActiveAt: Date.parse('2026-08-09T07:00:00Z'),
+        candidates: [{
+          postId: 'candidate-1', subreddit: 'example', author: 'alice', title: '[25F] A potential post',
+          postUrl: 'https://www.reddit.com/r/example/comments/candidate-1/', sourceType: 'image',
+          status: 'ready', priority: 2, postCreatedAt: Date.parse('2026-08-09T06:50:00Z'),
+          discoveredAt: Date.parse('2026-08-09T07:00:00Z'), updatedAt: Date.parse('2026-08-09T07:30:00Z'),
+          availableAt: Date.parse('2026-08-09T07:30:00Z'), attemptCount: 1, hasPreparedMessage: true,
+          note: null, owner: null,
+        }],
+      })),
+    );
+
+    renderDashboard('/outreach');
+
+    expect(await screen.findByRole('heading', { name: 'Outreach funnel' })).toBeInTheDocument();
+    expect(screen.getByRole('heading', { name: '3 active posts' })).toBeInTheDocument();
+    expect(screen.getByRole('list', { name: 'Active outreach candidates' })).toHaveTextContent('A potential post');
+    expect(screen.getByRole('link', { name: '[25F] A potential post' })).toHaveAttribute(
+      'href',
+      'https://www.reddit.com/r/example/comments/candidate-1/',
+    );
+    expect(within(screen.getByRole('list', { name: 'Active outreach candidates' })).getByText('Message prepared')).toBeInTheDocument();
+  });
+
   it('hydrates media filters from the routed URL', async () => {
     installSuccessfulApi();
     server.use(