Well, what I want is to capture the whole site and capture ALL cart pages, one
inCart page for every product.

So I don't know how to apply the authentication steps to all product pages.

I cannot save the page with my browser since I plan to mirror thousands of
cart pages every day.

So I rephrase my question: I need HTT follow POST links. I don't want to
introduce any input, all inputs are already filled in the code. I only want to
navigate through cart pages offline (and check inCart price offline).