Woocommerce | 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' );
    }
};