How to display the Shipping Class of each item in the WooCommerce shopping cart

functions.php

<?php
/**
 * Add the shipping class to the bottom of each item in the cart
 */
add_filter( 'woocommerce_cart_item_name', 'shipping_class_in_item_name', 20, 3);
function shipping_class_in_item_name( $item_name, $cart_item, $cart_item_key ) {

	// If the page is NOT the Shopping Cart or the Checkout, then return the product title (otherwise continue...)
	if( ! ( is_cart() || is_checkout() ) ) {
		return $item_name;
	}

	$product = $cart_item['data']; // Get the WC_Product object instance
	$shipping_class_id = $product->get_shipping_class_id(); // Shipping class ID
	$shipping_class_term = get_term( $shipping_class_id, 'product_shipping_class' );

	// Return default product title (in case of no Shipping Class)
	if( empty( $shipping_class_id ) ) {
		return $item_name; 
	}

	// If the Shipping Class slug is either of these, then add a prefix and suffix to the output
	if ( ( $shipping_class_term->slug == 'flat-1995-per' ) || ( $shipping_class_term->slug == 'flat-4999-per' ) ) {
		$prefix = '$';
		$suffix = 'each';
	}

	$label = __( 'Shipping Class', 'woocommerce' );

	// Output the Product Title and the new code which wraps the Shipping Class name
	return $item_name . '<br>
		<p class="item-shipping_class" style="margin:0.25em 0 0; font-size: 0.875em;">
		<em>' .$label . ': </em>' . $prefix . $shipping_class_term->name . ' ' . $suffix . '</p>';

}