How have 2 different cookies/sessions for both '/' and '/admin'?

[mamcx]

How can I have different cookies for different parts of a site?

The root:/ is for a public-facing site that log regular users, and '/admin' is only for employees.

I tried:

       App::new()
..
            .wrap(
                IdentityMiddleware::builder()
                    .id_key("bestseller.user_id")
                    .last_visit_unix_timestamp_key("bestseller.last_visit")
                    .login_unix_timestamp_key("bestseller.login")
                    .build(),
            )
            .wrap(
                SessionMiddleware::builder(CookieSessionStore::default(), Key::from(&[123; 64]))
                    .cookie_name("bestseller_session".into())
                    .build(),
            )
            .wrap(TracingLogger::default()) //always last
            .service(fs::Files::new("/static", static_path()))
            .configure(api)
            .configure(back_end)
            .configure(back_end2)
            //Public
            .wrap(
                IdentityMiddleware::builder()
                    .id_key("bestseller_store.user_id")
                    .last_visit_unix_timestamp_key("bestseller_store.last_visit")
                    .login_unix_timestamp_key("bestseller_store.login")
                    .build(),
            )
            .wrap(
                SessionMiddleware::builder(CookieSessionStore::default(), Key::from(&[123; 64]))
                    .cookie_name("bestseller_store".into())
                    .build(),
            )
            .configure(front_end)
    });

But I only see the first cookie stored.