feat: export types and simplify hook checks and add docs

site/snippets/react/useLogout.tsx

@@ -1,12 +1,12 @@
 import { useLogout } from "@alchemy/aa-alchemy/react";
 
-export function ComponentWithUser() {
+export function ComponentWithLogout() {
   // Assumes the app has context of a signer with an authenticated user
   const { logout } = useLogout();
 
   return (
     <div>
-      <button onClick={() => logout}>Add Passkey</button>
+      <button onClick={() => logout}>Logout</button>
     </div>
   );
 }