How to make an AJAX empty cart button on woocommerce?

Question

AJAX

Hello, I'm trying to make an AJAX button to completely empty the cart, without reloading the page, this is what I have:
In function.php:

function woocommerce_clear_cart_url() {
  global $woocommerce;
  if( isset($_REQUEST['empty']) ) {
    $woocommerce->cart->empty_cart();
  }
}
add_action( 'init', 'woocommerce_clear_cart_url' );
function my_custom_function(){
 global $woocommerce;
$woocommerce->cart->empty_cart();
}
add_action('wp_ajax_empty', 'my_custom_function');
add_action('wp_ajax_nopriv_empty', 'my_custom_function');

On the cart page:

<script>
jQuery(function($){
 $('#btnclear').click(function(){

 $.ajax({
        url: '/wp-admin/admin-ajax.php',    
        type: "POST",
        cache: false,
        data: {action: 'empty'} //action defines which function to use in add_action
});
});
});
</script>
<button name="empty" id="btnclear">Очистить корзину</button>

When you click on the button, nothing happens, but when you reload the page, all the goods from the basket disappear... Tell me, what's wrong?