For example, I have two web projects(LocalProject and serverProject) and they were deployed at localhost and server.com respectively.

Now I login the LocalProject so I have the sessionid in cookies under domain locahost

I want to have another sessionid for serverProject in cookies under domain server.com and try to login via fetch

const respLogin = await browser.fetch('server.com/web/login',{
    method: 'POST',
    headers: { 'Content-Type': 'application/json'},
    body: loginData
});

The request is succeeded and the server sent the sessionid to me

But the problem is I cannot find this sessionId in the Application panel. Why and how can I fix this problem.