Session is updated from Adapter, but callback still get old one

[matha-io]

Hello ! I'm using Next-Auth with a FaunaDB Database & a custom adapter.
I'm not using JWT, my aim is to store an accessToken from the adapter on the session object to be able to call the DB from the user perspective.

Basically, the Adapter creates the accessToken on createSession & updateSession (if session needs to be updated, depending on maxAge).

callbacks: {
    async session(session, ...rest) { // Session here is always the old (un-updated one)
      const client = new Client({ secret: session.accessToken }); // DB Client
      try {
        return {
          ...session,
          user: await client.query(getUser({})), // Getting more user info
        };
      } catch (err) {
        return session;
      }
    },
}

The accessToken is updated when the session is, so the access is not expired.
The issue is that the session inside the callbacks options is always getting the first session, not the updated one.
So the updated accessToken is not used directly, so we get a 401 query on the DB (accessToken is expired).

What I don't understand, is that by using the debug option, I can see those steps :

1. Adapter::getSession called
2. Adapter::updateSession called, can stop the return, or update session
3. Session Callback is called, but gets the old session

How can the callback get the updated session instead ?
Should I move the update of the accessToken of the session inside the the session callback, instead of inside the Adapter (updateSession) ?

Feels like this should be handled by the Adapter.

Thank you !