fix(scripts): show name of inheriting class on search index (#10424)

* fix(scripts): show name of inheriting class on search index

* fix: sanity check

Author: Qjuh

packages/scripts/src/generateIndex.ts

@@ -129,7 +129,10 @@ export function visitNodes(item: ApiItem, tag: string) {
 
 		members.push({
 			id: idx++,
-			name: member.getScopedNameWithinPackage(),
+			name: (inherited && member.parent
+				? member.getScopedNameWithinPackage().replace(new RegExp(`^${member.parent?.displayName}`), item.displayName)
+				: member.getScopedNameWithinPackage()
+			).replaceAll('.', '#'),
 			kind: member.kind,
 			summary: tryResolveSummaryText(member) ?? '',
 			path: generatePath(inherited ? [...item.getHierarchy(), member] : member.getHierarchy(), tag),