wordpress custom post type remove duplicate menu item

I’ve registered a new content type with following –

register_post_type('news', array(
    'labels' => array(
        'name' => __( 'News'),
        'singular_name' => __( 'News'),     
        'add_new' => _x( 'Add New News', 'News'),
        'add_new_item' => __( 'Add New News'),
        'edit_item' => __( 'Edit News'),
        'new_item' => __( 'New News'),
        'view_item' => __( 'View News Details'),
        'search_items' => __('Search News')         
      ),
    'public' => true,
    'show_ui' => true,
    'menu_position' => 6,
    'has_archive' => false,
    'rewrite' => array('slug'=>'news'),
    'supports' => array('title', 'editor' ),
    'taxonomies' => array('category'),
    'menu_icon' => plugins_url('icons/news.png', __FILE__),
    )
);

This does generate admin menu item as follows —

or

Is it possbile to remove repeated link for menu item News that comes on hover of main menu item. Because, the main menu item News ( in bold letter ) takes admin to same page as sub-menu item news does. In short- i want to have only two options as sub menus .. those are Add New News and Categories. Is this possbile ??

I tried using following–

add_action('admin_menu', 'remove_news_subitem');
function remove_news_subitem() {
    global $submenu;
    unset($submenu['edit.php?post_type=news']);
}

But this removes all submenus.

I believe no such hook is present to do this. And only option I could imagine is to edit core files. But that I strongly don’t want to do.

Possible way to do this using jQuery when menu items render on domReady. But this is ugly. Can it be done from php itself??