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It's hard to advise when you can't see the whole example !!!

The part you put here is useless.

class myCustomCartClass 
{
    protected $module = false;
	protected $namef_class;
    private $context;

    public function __construct(Module $module = null)
    {
        $this->_namef_class = get_class($this);
        $this->module = $module;
        $this->context = Context::getContext();
    }

    public static function cart() {
        $this->addToCart();
    }
 
    public function addToCart() {
        $cart_id = Tools::getvalue('cart_id');
        $cart = new Cart((int)$cart_id);
        $order_status = (int)Configuration::get('PS_OS_PAYMENT');
        $order_total = $cart->getOrderTotal(true, Cart::BOTH);
        $this->module->validateOrder($cart->id, $order_status, $order_total, "Bankwire module", null, array(), null, false, $cart->secure_key);    
    }
}
 
/* IN YOUR MODULE
require_once(dirname(__FILE__).'/classes/myCustomCartClass.php');
   
$foo = new myCustomCartClass($this);
$foo->cart();
*/