feat(web): useSearch infinite query + useDebouncedValue + MSW search handler

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

web/src/api/queries.ts

@@ -1,4 +1,4 @@
-import { useMutation, useQuery, useQueryClient } from "@tanstack/react-query";
+import { useInfiniteQuery, useMutation, useQuery, useQueryClient } from "@tanstack/react-query";
 
 import { api } from "./client";
 import type { components } from "./schema";
@@ -281,6 +281,39 @@ export function useCreateAuthority() {
   });
 }
 
+const SEARCH_PAGE = 20;
+
+export function useSearch(q: string, visibility: string | null) {
+  const term = q.trim();
+
+  return useInfiniteQuery({
+    queryKey: ["search", term, visibility],
+    enabled: term.length > 0,
+    initialPageParam: 0,
+    queryFn: async ({ pageParam }) => {
+      const { data, error } = await api.GET("/api/admin/search", {
+        params: {
+          query: {
+            q: term,
+            ...(visibility ? { visibility } : {}),
+            offset: pageParam,
+            limit: SEARCH_PAGE,
+          },
+        },
+      });
+
+      if (error || !data) throw new Error("search failed");
+
+      return data;
+    },
+    getNextPageParam: (lastPage, allPages) => {
+      const loaded = allPages.reduce((n, page) => n + page.hits.length, 0);
+
+      return loaded < lastPage.estimated_total ? loaded : undefined;
+    },
+  });
+}
+
 type Visibility = "draft" | "internal" | "public";
 
 /** Error carrying the HTTP status so callers can branch 422-gate vs 409-illegal. */