Change “add to cart” text on archives depending on product type

// Change add to cart text on archives depending on product type
add_filter( 'woocommerce_product_add_to_cart_text' , 'custom_woocommerce_product_add_to_cart_text' );
function custom_woocommerce_product_add_to_cart_text() {
	global $product;
	$product_type = $product->product_type;
	switch ( $product_type ) {
		case 'external':
			return __( 'Add to cart', 'woocommerce' );
		break;
		case 'grouped':
			return __( 'Add to cart', 'woocommerce' );
		break;
		case 'simple':
			return __( 'Add to cart', 'woocommerce' );
		break;
		case 'variable':
			return __( 'Add to cart', 'woocommerce' );
		break;
		default:
			return __( 'Add to cart', 'woocommerce' );
	}
	
};