How to test auth0 login with github using cypress

I'm trying to write E2E tests for my UI. In order to login, I'm using auth0 with social login - Github. I have tried several ways to get access token for Github:

1. Using cypress button clicking:

    cy.visit("https://myapp.io/login");
    cy.get('.auth0-lock-social-button-text').click();
    // Redirect me into Github login page.
    cy.get('#login_field').type(my_username);
    cy.get('#password').type(my_password);
    cy.get('.btn').click();
   

output: url: https://github.com/session

page content: Cookies must be enabled to use GitHub.

2. Login with cy.request
   This is where I'm stuck. I want to mock the flow of the ui by sending the requests by myself, but I'm not sure how to do it. All the examples I found were with users they manually created in auth0 users manager, and they received the data by passing client_secret and some other params. Thats not what I'm looking for. I'm trying to illustrate the flow as a user see it, or at least the requests that happens behind.

Is someone have example that explains how to do it?

Note: I don't want to use cypress-social-logins because I need it to pass CI.

Thanks.