fix(search): no LA comparison for independent schools (H2)

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

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

@@ -391,3 +391,20 @@ describe('singleSexLabel', () => {
     expect(singleSexLabel(undefined)).toBeNull();
   });
 });
+
+describe('isIndependentSchool', () => {
+  const { isIndependentSchool } = require('@/lib/utils');
+
+  it('matches both GIAS independent types', () => {
+    expect(isIndependentSchool({ school_type: 'Other independent school' })).toBe(true);
+    expect(isIndependentSchool({ school_type: 'Other independent special school' })).toBe(true);
+  });
+
+  it('does not match state-funded types or a missing type', () => {
+    for (const t of ['Academy converter', 'Community school', 'Free schools', 'Non-maintained special school']) {
+      expect(isIndependentSchool({ school_type: t })).toBe(false);
+    }
+    expect(isIndependentSchool({ school_type: null })).toBe(false);
+    expect(isIndependentSchool({})).toBe(false);
+  });
+});