feat(search): print the school page's type and flags in search rows

Both rows now take their type label and tags from lib/schoolFacts, so a
parent reads the same words in the list and on the page: "State school"
instead of "Academy converter", "Girls' school" instead of "Girls", the
religious character instead of "Faith priority", and a Nursery class flag
on primaries. Who-can-apply tags are outlined with an inset ring, which
keeps them the size of their neighbours; the Selective tag no longer
borrows the status colour.

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

nextjs-app/components/SecondarySchoolRow.tsx

@@ -3,7 +3,7 @@
  * Four-line row for secondary school search results
  *
  * Line 1: School name · Ofsted badge
- * Line 2: School type · Age range · Gender · Sixth form · Admissions tag
+ * Line 2: Phase · Type · Age range · the school page's flags (lib/schoolFacts)
  * Line 3: Attainment 8 (large) · ±LA avg delta · Pupils
  * Line 4: LA name · distance
  */
@@ -11,22 +11,10 @@
 'use client';
 
 import type { School } from '@/lib/types';
-import { buildOfstedListBadge, getPhaseStyle, schoolUrl, formatAgeRange, hasReligiousCharacter, isProposedToClose, isSpecialSchool } from '@/lib/utils';
+import { buildOfstedListBadge, getPhaseStyle, schoolUrl, formatAgeRange, isProposedToClose, isSpecialSchool } from '@/lib/utils';
+import { schoolFlags, schoolTypeLabel } from '@/lib/schoolFacts';
 import styles from './SecondarySchoolRow.module.css';
 
-function detectAdmissionsTag(school: School): string | null {
-  // Exact match: "Non-selective" contains "selective", so a substring test
-  // tagged every comprehensive as Selective.
-  if (school.admissions_policy?.trim().toLowerCase() === 'selective') return 'Selective';
-  if (hasReligiousCharacter(school.religious_denomination)) return 'Faith priority';
-  return null;
-}
-
-function hasSixthForm(school: School): boolean {
-  // GIAS OfficialSixthForm flag; missing (pipeline not yet re-run) => false.
-  return school.has_sixth_form ?? false;
-}
-
 interface SecondarySchoolRowProps {
   school: School;
   isLocationSearch?: boolean;
@@ -64,9 +52,8 @@ export function SecondarySchoolRow({
       ? att8 - laAvgAttainment8
       : null;
 
-  const admissionsTag = detectAdmissionsTag(school);
-  const sixthForm = hasSixthForm(school);
-  const showGender = school.gender && school.gender.toLowerCase() !== 'mixed';
+  const typeLabel = schoolTypeLabel(school);
+  const flags = schoolFlags(school);
 
   return (
     <div className={`${styles.row} ${phase.key ? styles[`phase${phase.key}`] : ''} ${isInCompare ? styles.rowInCompare : ''}`}>
@@ -90,19 +77,16 @@ export function SecondarySchoolRow({
               {phase.label}
             </span>
           )}
-          {school.school_type && <span className={styles.attr}>{school.school_type}</span>}
+          {typeLabel && <span className={styles.attr}>{typeLabel}</span>}
           {school.age_range && <span className={styles.attr}>{formatAgeRange(school.age_range)}</span>}
-          {showGender && (
-            <span className={styles.provisionTag}>{school.gender}</span>
-          )}
-          {sixthForm && (
-            <span className={styles.provisionTag}>Sixth form</span>
-          )}
-          {admissionsTag && (
-            <span className={`${styles.provisionTag} ${admissionsTag === 'Selective' ? styles.selectiveTag : ''}`}>
-              {admissionsTag}
+          {flags.map((flag) => (
+            <span
+              key={flag.label}
+              className={flag.kind === 'condition' ? styles.conditionTag : styles.provisionTag}
+            >
+              {flag.label}
             </span>
-          )}
+          ))}
           {isProposedToClose(school) && (
             <span className={`${styles.provisionTag} ${styles.closingTag}`}>⚠ Proposed to close</span>
           )}