Feature Image column in WP Admin for custom posts

I have added code to my function.php file to add the Featured Image of a post to my admin column. It works great for posts and pages, but for my two custom post types (cars, wheels) it dosen’t do anything to the admin layout.

Can someone help me with this?

Do I need to add a filter for each custom post?

I got this code from here:

https://www.tcbarrett.com/2011/10/add-featured-image-thumbnail-to-wordpress-admin-columns/

The following code in my function.php file:

// Add the posts and pages columns filter. They can both use the same function.
	add_filter('manage_posts_columns', 'tcb_add_post_thumbnail_column', 5);
	add_filter('manage_pages_columns', 'tcb_add_post_thumbnail_column', 5);
        add_filter('manage_custom_post_columns', 'tcb_add_post_thumbnail_column', 5);

	// Add the column
	function tcb_add_post_thumbnail_column($cols){
	  $cols['tcb_post_thumb'] = __('FeaTured');
	  return $cols;
	}

	// Hook into the posts an pages column managing. Sharing function callback again.
	add_action('manage_posts_custom_column', 'tcb_display_post_thumbnail_column', 5, 2);
	add_action('manage_pages_custom_column', 'tcb_display_post_thumbnail_column', 5, 2);
        add_action('manage_custom_post_column', 'tcb_display_post_thumbnail_column', 5, 2);

	// Grab featured-thumbnail size post thumbnail and display it.
	function tcb_display_post_thumbnail_column($col, $id){
	  switch($col){
	    case 'tcb_post_thumb':
	      if( function_exists('the_post_thumbnail') )
	        echo the_post_thumbnail( 'admin-list-thumb' );
	      else
	        echo 'Not supported in theme';
	      break;
	  }
	}