When configuring an automatic proxy within Windows 10, after enabling the 'Automatically detect settings' option, the administrator must also provide the URL of the configuration script in the 'Use setup script' section for the proxy settings to be properly applied. Checking the proxy settings in the browser or restarting the network adapter would not suffice if the script URL hasn't been entered, as these actions do not provide the necessary configuration information to the proxy settings. While ensuring the latest Windows updates are installed is generally a good practice, it is not directly related to configuring proxy settings with a setup script.