create a template page for a post

You can add a rewrite tag and rules that capture anything after the post name:

function wpd_add_rewrites(){

    add_rewrite_tag( '%my_page%', '(.+)' );

    $post_types = array(
        'movie',
        'book',
        'album'
    );

    foreach( $post_types as $post_type ){
        add_rewrite_rule(
            '^' . $post_type . '/([^/]*)/([^/]*)/?',
            'index.php?post_type=" . $post_type . "&name=$matches[1]&my_page=$matches[2]',
            'top'
        );
    }

}
add_action( 'init', 'wpd_add_rewrites' );

Don’t forget, you must flush rewrite rules after adding / changing them. You can do this quickly by just visiting the Settings > Permalinks page.

You can then check the value of my_page anywhere after the wp action:

echo get_query_var( 'my_page' );