Notification of Customer Notes in Woocommerce

I am trying to setup a custom notification for any Woocommerce order that have a Customer Note added during checkout. I have the following but cannot get it to trigger. Can a second pair of eyes see where I am going wrong?

function woo_email_customer_message( $order_id ) {
global $woocommerce;
$order = new WC_Order( $order_id );
$order_customer_message = $order->customer_message;

if( $order->customer_message() ) {

$to = 'contact@example.com';
$subject = 'New Order Completed with Notes!!! :)';
$headers = 'From: My Name ' . "rn";

$message = 'A new order has been completed.n';
$message .= 'Order ID: '.$order_id.'n';
$message .= $order->customer_message;
@wp_mail( $to, $subject, $message, $headers );
}
}
add_action( 'woocommerce_thankyou', 'woo_email_customer_message' );