Add action when published in the core script

Dear AlexBenfica,

I wish that a script is executed everytime a post is published from a schedule but every hook I added in functions.php doesn’t work, they are:

function pubblica_img_fb($post_id) {
   if (( $_POST['post_status'] == 'publish' ) && ( $_POST['original_post_status'] != 'publish' ) )
    {
 wp_mail( '[email protected]', 'test', 'test' );
}
}

add_action( 'publish_post', 'pubblica_img_fb', 10, 3);
add_action('publish_future_post', 'pubblica_img_fb');
add_action('future_to_publish', 'pubblica_img_fb');
add_action( 'draft_to_publish', 'your_callback' );

So, because it’s not working with none of them, I’ve tried to add a simple script in the core script, exactly in the pts_do_publish_schedule function which is:

wp_mail( '[email protected]', 'test', 'test' );

but still, it doesn’ works!

So I’m here asking you where should I add some PHP code in order to be executed ONLY when the post is really published.

Thank you very much
Best
Simone

https://www.ads-software.com/plugins/publish-to-schedule/