Sylius php – how to pass cart to twig template (Sylius Template Events)

The default context provider does not provide a cart object. There’s only channelContext, currencyContext, localeContext and customerContext.

Is it possible to get cart in twig template using Sylius template events?

For example like this:

sylius_ui:
    events:
        sylius.shop.layout.header.content:
            blocks:
                search:
                    enabled: true
                    template: "@App/Layout/Header/_search.html.twig"
                    priority: 10
                    context:
                        cart: how_to_pass_cart? # <-- How to pass cart

And using it in a template, for example:

{# @App/Layout/Header/_search.html.twig #}
{{ cart.itemsTotal }}

---

Right now, in the standard template, to display the cart, a render of the order controller is used with template substitution.

https://github.com/Sylius/Sylius/blob/a0ad0d1e4c61ed8ec30bbb39e36184cb910736b2/src/Sylius/Bundle/ShopBundle/Resources/views/Layout/Header/_cart.html.twig#L2

<div class="right aligned column">
    {{ render(url('sylius_shop_partial_cart_summary', {'template': '@SyliusShop/Cart/_widget.html.twig'})) }}
</div>

---

From my point of view this is not a very good solution.
Is there a way to get the cart via context parameter or ContextProvider in twig template?