I use simple function to display WooCommerce cart in menu. However I can't resolve one issue. When I change the cart page URL in WooCommerce -> Settings -> Advanced -> Cart Page the cart URL is not updated. I have a guess that it has something with an Ajax function, but this the reference code fro the official WooCommerce docs. When I add item to the cart the cart URL is updated. How to update cart URL without adding items?

My code:

<?php
    /**
    * Cart icon with total price and items count
    */
    function deo_woocommerce_cart_icon() {
        ?>
        <div class="nav__cart">
            <a class="nav__cart-url" href="<?php echo esc_url( wc_get_cart_url() ); ?>" title="<?php echo esc_attr__( 'View your shopping cart', 'furosa' ); ?>">
                <span class="nav__cart-icon-holder">
                    <i class="ui-cart nav__cart-icon"></i>
                    <span class="nav__cart-count"><?php echo WC()->cart->get_cart_contents_count(); ?></span>
                </span>
            </a>
        </div>
        <?php
    }
    
    /**
    * Show cart contents / total Ajax
    */  
    function deo_woocommerce_header_add_to_cart_fragment( $fragments ) {
    
        ob_start();
        deo_woocommerce_cart_icon();
        $fragments['.nav__cart-url'] = ob_get_clean();
    
        return $fragments;
    }
    add_filter( 'woocommerce_add_to_cart_fragments', 'deo_woocommerce_header_add_to_cart_fragment' );

I use simple function to display WooCommerce cart in menu. However I can't resolve one issue. When I change the cart page URL in WooCommerce -> Settings -> Advanced -> Cart Page the cart URL is not updated. I guess that it has something deal with an Ajax function, but this the reference code from the official WooCommerce docs. When I add item to the cart the cart URL is updated. How to update cart URL without adding items?

My code:

<?php
    /**
    * Cart icon with total price and items count
    */
    function deo_woocommerce_cart_icon() {
        ?>
        <div class="nav__cart">
            <a class="nav__cart-url" href="<?php echo esc_url( wc_get_cart_url() ); ?>" title="<?php echo esc_attr__( 'View your shopping cart', 'furosa' ); ?>">
                <span class="nav__cart-icon-holder">
                    <i class="ui-cart nav__cart-icon"></i>
                    <span class="nav__cart-count"><?php echo WC()->cart->get_cart_contents_count(); ?></span>
                </span>
            </a>
        </div>
        <?php
    }
    
    /**
    * Show cart contents / total Ajax
    */  
    function deo_woocommerce_header_add_to_cart_fragment( $fragments ) {
    
        ob_start();
        deo_woocommerce_cart_icon();
        $fragments['.nav__cart-url'] = ob_get_clean();
    
        return $fragments;
    }
    add_filter( 'woocommerce_add_to_cart_fragments', 'deo_woocommerce_header_add_to_cart_fragment' );