cypress: After updating to Cypress 10.4.0 localStorage and sessionStorage are not populated with part of login happening in cy.origin() and login process fails

Current behavior

Before Cypress 10.4 update, the test framework had the current workflow:

1. In each test, beforeEach runs Commands.login()
2. Commands.login() contains the login wrapped inside cy.session to preserve session data
3. Inside the cy.session, part of the login is inside cy.origin, because a part of login process is done in secondary domain
4. Rest of the steps are done in the initial first domain

Problem with part 4: now after Cypress 10.4 update, when it returns from the secondary domain, it looks like both localStorage and sessionStorage are emptied, thus the test cannot continue without the data stored in both of the storages.

Desired behavior

cy.session() should preserve localStorage and sessionStorage as documented.

Test code to reproduce

import { Commands } from '../support/commands';
beforeEach(() => {
    cy.viewport(1412, 937);
    cy.log('I run this text and login before every test in every spec file!');
    Commands.login(Cypress.env("username"), Cypress.env("password"));
});

…/support/commands.ts

public static login = (username: string, password: string): void => {
        cy.session([username, password], () => {

	    // Visit main page, we are in firstdomain.com
            cy.visit(Cypress.env("testUrl"));

            // Click the button in the firstdomain that redirects to secondary domain
            cy.get(':nth-child(1) > .--span-s-12 > .c-button > .button-container > .button-text').click();

            // Commands that need to run in another domain
            // Anything that runs in the secondary domain needs to be wrappen inside cy.origin for the test to continue
            cy.origin('different.domain.com', { args: [username, password] }, ([username, password]) => {
                // Enter login info in secondary domain
                cy.get('#email').click();
                cy.get('#email').type(username);
                cy.get('#password').click();
                cy.get('#password').type(password);
                cy.get('#next').click();
            });
            
            // Now we're redirected back at the original firstdomain.com, so we need to continue commands outside of cy.origin
	    // PROBLEM: In Cypress 10.4.0 the sessionStorage and localStorage are not preserved at this step, at least it looks like that from DevTools

            // Select company from list, which can't be found in 10.4 because it's not in the correct page
            cy.contains("72", { timeout: 6000 }).click();
            
            // Do other stuff in firstdomain.com..

            // Session ends    
        });
    };

Cypress Version

10.4.0

Other

This worked fine until 10.3.2