How to remove an item from menu bar's +New menu based on User role

Question

I want to hide / remove a particular menu item from +New menu on admin menu bar based on specific user role. I referred to this post and tried what is suggested here but for me it did not work.

I have a user role fuel-surcharge-editor, which should not get access to Weather Alert content type (please see screenshot).

Both Fuel Surcharge and Weather Alert are custom post types. So from +New menu both are pointing to same location:

http://vagrant.local/wp/wp-admin/post-new.php?post_type=fuel-surcharge, with a different post_type.

I tried the following:

function remove_new_content_items(){
    if(current_user_can('fuel-surcharge-editor')) {
       global $wp_admin_bar;
       $wp_admin_bar->remove_menu( 'post-new', 'weather_alert' );
    }
}

add_action( 'wp_before_admin_bar_render', 'remove_new_content_items', 0 );

I also tried $wp_admin_bar->remove_menu('post-new.php?post_type=weather_alert'); and $wp_admin_bar->remove_menu('post-new.php', 'weather_alert');

but none worked. How can I do this?