feat(frontend): show inactive tasks on entity page

Return all tasks for an entity so inactive items remain visible in the entity detail view while global task listings stay active-only.

Add inactive task styling and coverage for the entity page state.

frontend/src/__tests__/api/tasksApi.test.ts

@@ -54,7 +54,14 @@ describe('tasksApi', () => {
   it('should_returnTasksForEntity_when_getTasksByEntityCalled', async () => {
     localStorage.setItem('condado:entity-tasks', JSON.stringify([taskOne, taskTwo]))
 
-    await expect(getTasksByEntity('entity-1')).resolves.toEqual([taskOne])
+    await expect(getTasksByEntity('entity-1')).resolves.toEqual([
+      taskOne,
+      {
+        ...taskOne,
+        id: 'task-3',
+        active: false,
+      },
+    ])
   })
 
   it('should_hideInactiveTasks_when_getAllTasksCalled', async () => {

frontend/src/__tests__/pages/EntityDetailPage.test.tsx

@@ -64,4 +64,39 @@ describe('EntityDetailPage', () => {
       )
     })
   })
+
+  it('should_renderInactiveTasksWithStatus_when_entityHasInactiveTasks', async () => {
+    vi.mocked(tasksApi.getEmailLookbackLabel).mockReturnValue('Last week')
+
+    vi.mocked(entitiesApi.getEntity).mockResolvedValue({
+      id: 'entity-1',
+      name: 'Entity A',
+      email: 'a@a.com',
+      jobTitle: 'Ops',
+      personality: 'Formal',
+      scheduleCron: '0 9 * * 1',
+      contextWindowDays: 3,
+      active: true,
+      createdAt: '',
+    })
+    vi.mocked(tasksApi.getTasksByEntity).mockResolvedValue([
+      {
+        id: 'task-2',
+        entityId: 'entity-1',
+        name: 'Retired Task',
+        prompt: 'Archive the sandwich minutes',
+        scheduleCron: '0 9 * * 1',
+        emailLookback: 'last_week',
+        active: false,
+        createdAt: '2026-03-26T10:00:00Z',
+      },
+    ])
+
+    render(<EntityDetailPage />, { wrapper })
+
+    await waitFor(() => {
+      expect(screen.getByText(/Retired Task/i)).toBeInTheDocument()
+      expect(screen.getByText(/Inactive/i)).toBeInTheDocument()
+    })
+  })
 })