Solution:1
You dont need to use a meta field to get private posts, its available on the wp query post_status parameter.
$args = array( 'post_status' => array( 'publish' ) ); // regular users
if ( is_user_logged_in() ) {
// signed in users
$args['post_status'][] = 'private';
}
$query = new WP_Query( $args);