Gleb Bahmutov discusses the process of debugging and stabilizing end-to-end tests for the Cypress Real World App, which initially faced failures on Windows continuous integration (CI) despite passing locally. The issue involved a test that checked for a notification with the name "Edgar" but failed on CI due to a missing notification caused by a race condition. The root of the problem was traced to a situation where the test logic allowed the user token to be removed before the completion of an XHR call, leading to unauthorized POST requests. To resolve this, the test was adjusted to wait for the completion of the XHR call by ensuring the like button was disabled and the like count incremented before switching users. This modification eliminated the error, leading to consistently successful test runs on Windows CI.