Set a custom shipping cost on every 10th Order in WooCommerce

WP 5.3.3

I need to change shipping cost programmatically, after order creation.

This code doesn’t affect:

add_action('woocommerce_new_order', 'custom_shipping_costs',  1, 1);
function custom_shipping_costs($order_id)
{
    $order = wc_get_order($order_id);
    $shippingItems = (array) $order->get_items('shipping');
    foreach ($shippingItems as $item) {
        $item->cost = 0;
    }
    $order->save();
}

Some help please?

Update 1:

It’s important that I need to change shipping price in every n-th order.
Something like this:

if ($order_id % 10 == 0) {
    // change shipping price for every 10-th order
}

Update 2 (the solution):

Thanks @LoicTheAztec – the solution is based on his answer, with a little changes:

1. set_option -> update_option
2. set_total_tax throws an error, so I changed this part a bit (This thread helped me).

The final code (goes in functions.php file of your active child theme or active theme):

// Set a count based on placed orders for shipping items cost change
add_action('woocommerce_checkout_create_order', 'action_wc_checkout_create_order', 10, 2);
function action_wc_checkout_create_order($order, $data)
{
    // get $order count for shipping item change
    $orders_count = (int) get_option('wc_orders_count_for_shipping');

    // Increase count for next order (starting count at 2 as this hook is triggered after shipping items hook)
    update_option('wc_orders_count_for_shipping', $orders_count > 0 ? $orders_count + 1 : 2);
}

// Set shipping cost to zero every 10-th orders when order is placed
add_action('woocommerce_checkout_create_order_shipping_item', 'action_wc_checkout_create_order_shipping_item', 10, 4);
function action_wc_checkout_create_order_shipping_item($item, $package_key, $package, $order)
{
    $orders_count = (int) get_option('wc_orders_count_for_shipping');

    // Every 10-th orders 
    if ($orders_count > 0 && ($orders_count % 10) === 0) {
        $item->set_total(0);
        $item->set_taxes(['total' => '0']);
        //$item->set_total_tax('0');
        $item->save();
        $order->calculate_totals();
    }
}