Maintaining session in a webview.

I'm building an expo app with a nextjs companion app. There are some components that are not available in the react native world and I'm consuming them through a web view. The page that is consumed uses client and server side trpc calls to fetch data/ mutate. Is it possible for me to maintain the session from the expo side inside the nextjs page? On expo i have this
const cookies = authClient.getCookie();
const newSource = {
      headers: { Cookie: cookies },
      uri: `${getBaseUrl()}/flow/${today}`,
    };

On the next js I'm consuming the cookie with

  const session = await auth.api.getSession({
    headers: headers(),
  });

The initial data is fetched, but any client side calls failed with unauthorized issues. Am I trying to achieve something unachievable here?
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