Do you want to disable automatic update email notifications in WordPress?
Email notifications for automatic updates were introduced in WordPress 5.5. The administrator of the WordPress website receives the automatic update emails unless a different email is set in the admin area or by code.
Then email notifications are sent after each attempt to auto-update WordPress core, plugins, or themes regardless of their status, i.e., success or failure.
If you find these notification emails annoying, then you can disable email notifications for WordPress core, themes, and/or plugin auto-updates by using the code snippet below.
// Disable auto-update emails for WordPress core.
add_filter('auto_core_update_send_email', '__return_false');
// Disable auto-update emails for WordPress plugins.
add_filter('auto_plugin_update_send_email', '__return_false');
// Disable auto-update emails for WordPress themes.
add_filter('auto_theme_update_send_email', '__return_false');