Problem with http-proxy-middleware and non localhost target

Question

I've got a simple node proxy app that works exactly as I want when I proxy between to localhost ports with https. That is, https://localhost:5200/jokes to https://localhost:7172/jokes. I call it from with in my JavaScript program using the fetch API as follows:

const res = await fetch(`${fetchBaseUrl}/jokes`, {
              method: "GET",
              credentials: "include",
            });

However, if I make my target of the proxy a real domain like https://example.com/jokes, I don't get the cookie back from that server. In both cases, I set the cookie options as follows: (I have tried sameSite LAX and strict also)

const cookieOptions = {
  httpOnly: true,
  secure: true,
  sameSite: "none", // when set to "none" the react app works, strict does not
};

Here is my simple proxy file. I'd appreciate help in identifying what I am missing to properly handle passing cookies. In my remote server code running on localhost:7172, I do verify the Origin server, and on the remote internet, that code does not even get called.

const fs = require("fs");
const https = require("https");
const express = require("express");
const cookieParser = require("cookie-parser");
const { createProxyMiddleware } = require("http-proxy-middleware");

const options = {
  key: fs.readFileSync("localhost5200proxyserver.key"),
  cert: fs.readFileSync("localhost5200proxyserver.crt"),
};

const app = express();
app.use(cookieParser());

//const target = "https://example.com"; // Target server (does not work)
const target = "https://localhost:7172"; // Target server

const httpsAgent = new https.Agent({
  rejectUnauthorized: false, // Allow self-signed certificates
});

app.use(
  "*",
  createProxyMiddleware({
    target: target,
    changeOrigin: true,
    secure: false, // Allow self-signed SSL certificates
    agent: httpsAgent,
    pathRewrite: (path, req) => {
      return req.originalUrl;
    },
    onProxyReq: (proxyReq, req, res) => {
      proxyReq.setHeader("Origin", 'https://localhost:7172'); // this presents to remote server
    },
    onProxyRes: (proxyRes, req, res) => {
      console.log("Response from target server:", proxyRes.statusCode);
      if (proxyRes.headers["set-cookie"]) {
        res.setHeader("Set-Cookie", proxyRes.headers["set-cookie"]);
      }
    },
    logLevel: "debug",
  })
);

https.createServer(options, app).listen(5200, () => {
  console.log(`Proxy server is running at https://localhost:5200 and proxy to ${target}`);
});

Note: on my real server, it's running with http behind a reverse proxy to get a valid letsencrypt ssl cert. When I access that site, I can get a cookie directly, just not through my proxy, which is important to me.