cookie handling in p:http:request redirects

Hi,
I was trying to find a description of cookie handling in the XProc spec [1]
and not really finding anything except the text on  suppress-cookies

I turned to AI [2]. I believe  this state about  *Automatic Management* to
be correct, and it will point to test files if pressed [3].
Is this a problem with the spec or am I looking in the wrong p[ace?

/Andy

[1] https://spec.xproc.org/3.1/steps/#c.http-request
[2] AI Overview Google (xproc 3 "cookie" handling)
In XProc 3.0, cookie handling is managed primarily through the standard
p:http-request step, which supports automatic cookie persistence and
configuration via its parameters map (such as toggling suppress-cookies)
and standard HTTP headers (Cookie and Set-Cookie).
<https://www.xmlcalabash.com/test-suites/3.0-test-suite/tests/ab-http-request-093.html>
Core Mechanisms for Cookie Handling

   - *Automatic Management:* The p:http-request step automatically parses
   incoming Set-Cookie headers from responses and sends matching cookies
   back in subsequent requests within the same context or session
   configuration.  <https://en.wikipedia.org/wiki/HTTP_cookie>
   - *Suppressing Cookies:* You can control or disable automatic cookie
   tracking by passing the 'suppress-cookies' key set to true() or false()
   inside the parameters map of p:http-request.

   [3] https://test-suite.xproc.org/tests/ab-http-request-092.html