Highlight parent menu item when displayed single post from cpt archive

pwp_cpt_current_item_class.php

<?php 
add_filter( 'nav_menu_css_class', 'pwp_cpt_current_item_class', 10, 2 );
function pwp_cpt_current_item_class( $classes , $item ){

  $type = get_post_type_object(get_post_type());

  if(!empty($type->rewrite['slug'])) {

    if (get_post_type() == $type->name || is_archive($type->rewrite['slug'])) {
      $classes = str_replace('current_page_parent', '', $classes);
      if ($item->url == '/'.$type->rewrite['slug']) {
        $classes = str_replace('menu-item', 'menu-item current_page_item', $classes);
        remove_filter('nav_menu_css_class', 'pwp_cpt_current_item_class', 10, 2);
      }
    }
  }
  return $classes;
}