Shipping calculator auto update on country change in WooCommerce cart

I woulk like to calculate on Woocommerce shipping cost based on country without clicking "Update button".

I checked posts on forums but it did not work for me: Shipping calculator state field change trigger update in WooCommerce cart

Can someone help with it?

here is code I have right now:

// 1 Disable State
add_filter( 'woocommerce_shipping_calculator_enable_state', '__return_false' );
 
// 2 Disable City
add_filter( 'woocommerce_shipping_calculator_enable_city', '__return_false' );
 
// 3 Disable Postcode
add_filter( 'woocommerce_shipping_calculator_enable_postcode', '__return_false' );


add_action('wp_footer', 'cart_country_update_shipping_methods', 50);
function cart_country_update_shipping_methods() {
    if ( ! is_cart() ) return; // On cart
    ?>
    <script type='text/javascript'>
        jQuery(function($){
            $(document.body).on('change', 'select[name="calc_shipping_country"]', function(){
                $(this).submit();
            });
        });
    </script>
    <?php
}

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