Disabled products do not disappear from a cart

[coldic3]

Sylius version affected: 1.12 (but all versions I guess)

Description
When we have a cart with products and some or all of them have been disabled meanwhile, these products are still visible in the cart and we can continue with all steps in the checkout except the "complete" step. It means we cannot place an order with disabled products. However, the validation error doesn't point out which products are disabled. Moreover, clicking "Update cart" doesn't remove these products from the cart.

Steps to reproduce

Given the store operates on a single channel in "United States"
And the store has a product "PHP T-Shirt"
And the store has a product "PHP Mug"
When I add product "PHP T-Shirt" to the cart
And I add product "PHP Mug" to the cart
And the "PHP T-Shirt" products has been disabled
And I update my cart
Then I should be notified that this product "PHP T-Shirt" is no longer available
Or I should see cart total quantity is 1

Possible Solution
Remove disabled products on cart update or validate the cart for enabled products only.

[crydotsnake]

Can reproduce it too.