fix(notes): activate workspace filtering

web/src/app/(app)/workspaces/page.tsx

@@ -9,6 +9,7 @@ import type { NoteSummary, WorkspaceSummary } from "@/lib/types";
 export default function WorkspacesPage() {
   const [notes, setNotes] = useState<NoteSummary[]>([]);
   const [workspaces, setWorkspaces] = useState<WorkspaceSummary[]>([]);
+  const [query, setQuery] = useState("");
   const [error, setError] = useState<string | null>(null);
 
   useEffect(() => {
@@ -52,6 +53,31 @@ export default function WorkspacesPage() {
     },
   ];
 
+  const filteredWorkspaces = useMemo(() => {
+    const normalized = query.trim().toLowerCase();
+    if (!normalized) {
+      return workspaces;
+    }
+
+    return workspaces.filter((workspace) => {
+      const workspaceNotes = notesByWorkspace.get(workspace.id) ?? [];
+
+      return (
+        workspace.name.toLowerCase().includes(normalized) ||
+        workspace.description.toLowerCase().includes(normalized) ||
+        workspace.owner.toLowerCase().includes(normalized) ||
+        workspace.visibility.toLowerCase().includes(normalized) ||
+        workspace.tags.some((tag) => tag.toLowerCase().includes(normalized)) ||
+        workspaceNotes.some(
+          (note) =>
+            note.title.toLowerCase().includes(normalized) ||
+            note.excerpt.toLowerCase().includes(normalized) ||
+            note.tags.some((tag) => tag.toLowerCase().includes(normalized)),
+        )
+      );
+    });
+  }, [notesByWorkspace, query, workspaces]);
+
   return (
     <AppShell
       title="Workspaces"
@@ -78,6 +104,8 @@ export default function WorkspacesPage() {
               aria-label="Filter workspaces"
               className="input-shell"
               placeholder="Filter workspaces by owner, tag, or visibility"
+              value={query}
+              onChange={(event) => setQuery(event.target.value)}
             />
             <div style={{ display: "flex", gap: "var(--ml-space-2)", flexWrap: "wrap" }}>
               <span className="badge">owner:any</span>
@@ -94,7 +122,7 @@ export default function WorkspacesPage() {
         </section>
       ) : null}
       <section style={{ display: "grid", gap: "var(--ml-space-4)" }}>
-        {workspaces.map((workspace) => {
+        {filteredWorkspaces.map((workspace) => {
           const workspaceNotes = notesByWorkspace.get(workspace.id) ?? [];
           return (
             <article key={workspace.id} className="surface-card" style={{ padding: "var(--ml-space-6)", display: "grid", gap: "var(--ml-space-4)" }}>