[lib][web][native] Refactor actions in user-actions.js pt.3 - login

Summary: issue: https://linear.app/comm/issue/ENG-5283/refactor-login-action

Test Plan: tested that it is possible to login and no errors appear

Reviewers: michal, kamil, ginsu

Reviewed By: michal

Subscribers: varun, ashoat, tomek, wyilio

Differential Revision: https://phab.comm.dev/D9648