fix(search): no "Not yet inspected" without Ofsted's word; ISI badge (H4)

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

nextjs-app/lib/utils.ts

@@ -678,7 +678,9 @@ export interface OfstedListBadge {
  *     or an ungraded visit whose outcome names no grade): "Inspected · YYYY",
  *     dated by the latest visit, so a school never reads as both inspected and
  *     "Not yet inspected"
- *   - No inspection on record: "Not yet inspected" in grey
+ *   - No inspection on record (audit H4): "Inspected by ISI" when GIAS names
+ *     ISI; "Not yet inspected" only when Ofsted's own data lists the school;
+ *     otherwise no badge, never a claim the data cannot support.
  */
 export function buildOfstedListBadge(school: {
   ofsted_grade?: 1 | 2 | 3 | 4 | null;
@@ -686,7 +688,9 @@ export function buildOfstedListBadge(school: {
   ofsted_date?: string | null;
   ofsted_framework?: string | null;
   ofsted_rc_date?: string | null;
-}): OfstedListBadge {
+  inspectorate?: string | null;
+  ofsted_listed?: boolean | null;
+}): OfstedListBadge | null {
   // A report card wins over any carried-forward legacy grade — signalled by
   // ofsted_rc_date. ofsted_framework is the raw event grouping ("Schools -
   // S5"), never "ReportCard", so it can't detect report cards.
@@ -719,7 +723,9 @@ export function buildOfstedListBadge(school: {
     return { label: `Inspected${visitYear ? ` · ${visitYear}` : ''}`, cssClass: 'ofstedInspected' };
   }
 
-  return { label: 'Not yet inspected', cssClass: 'ofstedPending' };
+  if (school.inspectorate === 'ISI') return { label: 'Inspected by ISI', cssClass: 'ofstedPending' };
+  if (school.ofsted_listed) return { label: 'Not yet inspected', cssClass: 'ofstedPending' };
+  return null;
 }
 
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