NextJS 14 + Framework hosting: __session cookie not set when deployed

### [REQUIRED] Environment info

**firebase-tools:** 13.5.1

**Platform:** macOS

### [REQUIRED] Test case

```
"firebase": "^10.9.0",
"firebase-admin": "^12.0.0",
"next": "14.1.2",
```

Logging with link auth working locally and deployed, but the `__session` cookie is not set when the application is deployed. When running locally the cookie gets set.

Sample network requests when running locally shows the __session cookie being set automatically after login

When running the same code on Firebase Hosting no __session cookie is set

### [REQUIRED] Steps to reproduce

Deploy to Firebase Hosting.
Login with link.
Inspect network requets.
Refresh.

### [REQUIRED] Expected behavior

The user should be set by SSR. The session should be available in the `__session` cookie.

### [REQUIRED] Actual behavior

When deployed to firebase Hosting, the user is not set in SSR due to the `__session` cookie not being set. The user state is signed out on page load and the page updates after connecting to Firebase to show the user info.