Update AGENTS.md to correct the behavior of presence frames during school pauses, clarify the design documentation regarding mod load order, and add a new test for uncovered teaching positions in the management panel. Enhance reviewed phase details for accuracy and completeness.

src/HSchool.Client/src/ui/managementPanel.test.ts

@@ -165,3 +165,42 @@ describe('ManagementPanel payroll cap', () => {
     );
   });
 });
+
+describe('ManagementPanel uncovered', () => {
+  beforeEach(() => {
+    setLocale('en');
+    vi.mocked(fetchStaffing).mockReset();
+    vi.mocked(fetchTimetable).mockReset();
+    vi.mocked(fetchStaffing).mockResolvedValue({
+      ...staffing(),
+      applicants: [],
+      uncovered: [
+        {
+          defName: 'PrimarySchool',
+          label: 'Primary',
+          gradeMin: 1,
+          gradeMax: 4,
+          hoursPerWeek: 80,
+          teachersShort: 3,
+        },
+      ],
+    });
+    vi.mocked(fetchTimetable).mockResolvedValue(timetable());
+  });
+
+  afterEach(() => {
+    document.body.replaceChildren();
+    setLocale(initialLocale);
+  });
+
+  it('shows how many teachers a subject still needs', async () => {
+    const panel = new ManagementPanel();
+    document.body.append(panel.listElement, panel.cardElement);
+    panel.show(2);
+    await vi.waitFor(() =>
+      expect(panel.listElement.textContent).toContain(
+        t('staffUncoveredShort', { label: 'Primary', min: 1, max: 4, n: 3 }),
+      ),
+    );
+  });
+});