refactor: update avatar if updating profile is successful

apps/docs/pages/guides/getting-started/tutorials/with-react.mdx

@@ -176,6 +176,8 @@ export default function Account({ session }) {
 
     if (error) {
       alert(error.message)
+    } else {
+      setAvatarUrl(avatarUrl)
     }
     setLoading(false)
   }

examples/user-management/react-user-management/src/Account.jsx

@@ -51,6 +51,8 @@ export default function Account({ session }) {
 
     if (error) {
       alert(error.message)
+    } else {
+      setAvatarUrl(avatarUrl)
     }
     setLoading(false)
   }