WordPress doesn’t send a notification email when submitting a comment using REST API

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Here’s an untested suggestion for the REST API case:

add_action( 'rest_after_insert_comment', 'wp_new_comment_notify_moderator' );

emulating the existing:

add_action( 'comment_post', 'wp_new_comment_notify_moderator' );

Note the different callback inputs between actions and that we use that get_comment() should handle both comment ID or comment object as an input.