protected function site_states( $site ) {
    $site_states = array();

    // $site is still an array, so get the object.
    $_site = WP_Site::WP_Site::get_instance( $site['blog_id'] );

    if ( is_main_site( $_site->id ) ) {
      $site_states['main'] = __( 'Main' );
    }

    reset( $this->status_list );

    $site_status = isset( $_REQUEST['status'] ) ? wp_unslash( trim( $_REQUEST['status'] ) ) : '';
    foreach ( $this->status_list as $status => $col ) {
      if ( ( 1 === (int) $_site->{$status} ) && ( $site_status !== $status ) ) {
        $site_states[ $col[0] ] = $col[1];
      }
    }

    
/**
 * Filters the default site display states for items in the Sites list table.
 *
 * @since 5.3.0
 *
 * @param string[] $site_states An array of site states. Default 'Main',
 *                              'Archived', 'Mature', 'Spam', 'Deleted'.
 * @param WP_Site  $site        The current site object.
 */
    $site_states = apply_filters( 'display_site_states', $site_states, $_site );

    if ( ! empty( $site_states ) ) {
      $state_count = count( $site_states );

      $i = 0;

      echo ' — ';

      foreach ( $site_states as $state ) {
        ++$i;

        $separator = ( $i < $state_count ) ? ', ' : '';

        echo "<span class='post-state'>{$state}{$separator}</span>";
      }
    }
  }