How can i have different nav menus according to product category in woocommerce

I have two categories-- ayurveda and panchkarma,

I want different nav menus on single-product page according to category

This is what i am trying on woocommerce single-products.php

<?php
/**
 * The Template for displaying all single products.
 *
 * Override this template by copying it to yourtheme/woocommerce/single-product.php
 *
 * @author      WooThemes
 * @package     WooCommerce/Templates
 * @version     1.6.4
 */

if ( ! defined( 'ABSPATH' ) ) {
    exit; // Exit if accessed directly
}
$type = wp_get_object_terms($post->ID, 'product_cat'); ?>
<?php
if($type[0]->parent==53): 
?>
<?php get_header( 'panchkarma' ); ?>

<?php else: ?>

<?php get_header( 'shop' ); ?>  

<?php endif; ?>

    <?php
        /**
         * woocommerce_before_main_content hook
         *
         * @hooked woocommerce_output_content_wrapper - 10 (outputs opening divs for the content)
         * @hooked woocommerce_breadcrumb - 20
         */
        do_action( 'woocommerce_before_main_content' );
    ?>

        <?php while ( have_posts() ) : the_post(); ?>

            <?php wc_get_template_part( 'content', 'single-product' ); ?>

        <?php endwhile; // end of the loop. ?>

    <?php
        /**
         * woocommerce_after_main_content hook
         *
         * @hooked woocommerce_output_content_wrapper_end - 10 (outputs closing divs for the content)
         */
        do_action( 'woocommerce_after_main_content' );
    ?>

<?php
if($type[0]->parent==53): 
?>
<?php get_footer( 'panchkarma' ); ?>

<?php else: ?>

<?php get_header( 'shop' ); ?>  

<?php endif; ?>