Persist Cookies between redirects

We have an Api that you need to call on endpoint A, it sets cookies and redirects to B (and you cannot call B directly) but undici looses the cookies so the Api call fails.

(Update: both A and B live on the same origins but diffent paths and the cookie path is set on /)

fetch(
        "https://example.com/api",
        {
            method: "POST",
            credentials: 'include', // this guy should probably make this assumption if I understood the spec correctly
            redirect: "follow", // together with him
            headers: {
                "Content-Type": "application/x-www-form-urlencoded",
            },
            body: urlencoded.toString(),
        }
    )

I also considered:

import { fetch as uFetch } from 'undici';
import fetchCookie from 'fetch-cookie';
const fetch = fetchCookie(uFetch);

However on Win11 I want to use SSL certs which is poorly implemented in windows so I have to use this syntax:

const ca = (await import('win-ca')).default;
const rootCAs = []
// Fetch all certificates in PEM format
ca({
    format: ca.der2.pem,
    ondata: buf => rootCAs.push(buf.toString())
})
    
async function uWinCaFetch(url) {
    const dispatcher = new Agent({
        connect: {
            ca: rootCAs, // Pass all root certificates
        }
    });
    return request(url, { dispatcher });
}

But trying to wrap that with fetchCookie like: const fetch = fetchCookie(uWinCaFetch); only becomes:

file:///C:/ws/projects/my-card/node_modules/fetch-cookie/esm/index.js:129
const cookieString = response.headers.get("set-cookie");
                                        ^

TypeError: response.headers.get is not a function
    at getCookiesFromResponse (file:///C:/ws/projects/my-card/node_modules/fetch-cookie/esm/index.js:129:41)
    at fetchCookieWrapper (file:///C:/ws/projects/my-card/node_modules/fetch-cookie/esm/index.js:145:21)
    at process.processTicksAndRejections (node:internal/process/task_queues:95:5)
    at async GET (file:///C:/ws/projects/my-card/test.mjs:62:9)
    at async file:///C:/ws/projects/my-card/test.mjs:92:1

Additional context

Start with the fetch and request entry points and trace redirect handling, credentials, and response Set-Cookie processing. Reproduce the issue using an endpoint A that sets a cookie and redirects to endpoint B on the same origin; done means the cookie set by A is sent to B during the followed redirect.