fix(school): address review on the header chip fixes

- E2E: list with page_size (per_page was ignored), fail clearly if the
  gender filter is ignored, and require nursery_provision on the detail
  payload so the Nursery assertion cannot pass vacuously.
- singleSexLabel ignores case, as hasNurseryClasses does.
- Header test: type withSchool with Partial<School>, and match the
  single-sex labels exactly instead of any span ending in "school".

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

e2e/tests/journeys.spec.ts

@@ -3293,11 +3293,14 @@ for (const width of [360, 390, 430]) {
  * school". Data-invariant: the chip follows whatever the API says.
  */
 test('a girls\' secondary header names it properly and shows Nursery only when it has one', async ({ page }) => {
-  const res = await page.request.get('/api/schools?search=school&phase=secondary&gender=girls&per_page=1');
+  const res = await page.request.get('/api/schools?search=school&phase=secondary&gender=girls&page_size=1');
   expect(res.ok()).toBeTruthy();
   const [school] = (await res.json()).schools ?? [];
   test.skip(!school, 'no girls\' secondary in this environment');
+  expect(school.gender, 'the gender filter was ignored').toBe('Girls');
   const detail = await (await page.request.get(`/api/schools/${school.urn}`)).json();
+  // Without the field, the Nursery assertion below would pass vacuously.
+  expect(detail.school_info).toHaveProperty('nursery_provision');
 
   await page.goto(`/school/${school.urn}`);
   const header = page.locator('header', { has: page.getByRole('heading', { level: 1 }) });

nextjs-app/__tests__/components/schoolDetailHeader.test.tsx

@@ -7,6 +7,7 @@
  */
 
 import { screen } from '@testing-library/react';
+import type { School } from '@/lib/types';
 import { primaryFixture, secondaryFixture } from '../support/schoolFixtures';
 import { renderSchoolDetail, renderSecondarySchoolDetail } from '../support/renderSchoolDetail';
 
@@ -30,7 +31,7 @@ jest.mock('@/components/SchoolHeroMap', () => ({
   __esModule: true,
 }));
 
-function withSchool<T extends { schoolInfo: object }>(fixture: T, info: object): T {
+function withSchool<T extends { schoolInfo: School }>(fixture: T, info: Partial<School>): T {
   return { ...fixture, schoolInfo: { ...fixture.schoolInfo, ...info } };
 }
 
@@ -61,6 +62,6 @@ describe('school header single-sex chip', () => {
 
   it('says nothing for a mixed school', () => {
     renderSecondarySchoolDetail(withSchool(secondaryFixture, { gender: 'Mixed' }));
-    expect(screen.queryByText(/school$/, { selector: 'span' })).not.toBeInTheDocument();
+    expect(screen.queryByText(/^(Girls|Boys|Mixed)'s? school$/)).not.toBeInTheDocument();
   });
 });

nextjs-app/__tests__/lib/utils.test.ts

@@ -366,6 +366,11 @@ describe('singleSexLabel', () => {
     expect(singleSexLabel('Boys')).toBe("Boys' school");
   });
 
+  it('ignores case, as hasNurseryClasses does', () => {
+    expect(singleSexLabel(' girls ')).toBe("Girls' school");
+    expect(singleSexLabel('BOYS')).toBe("Boys' school");
+  });
+
   it('returns null for a mixed or unknown school', () => {
     expect(singleSexLabel('Mixed')).toBeNull();
     expect(singleSexLabel(null)).toBeNull();

nextjs-app/lib/utils.ts

@@ -113,8 +113,9 @@ export function hasNurseryClasses(value: string | null | undefined): boolean {
  * GIAS genders are plural, so the possessive is a bare apostrophe.
  */
 export function singleSexLabel(gender: string | null | undefined): string | null {
-  const g = gender?.trim();
-  if (g === 'Girls' || g === 'Boys') return `${g}' school`;
+  const g = gender?.trim().toLowerCase();
+  if (g === 'girls') return "Girls' school";
+  if (g === 'boys') return "Boys' school";
   return null;
 }