The claim to check

Answer it in your head first.

Somebody tells you that having a thought of disbelief takes a person out of Islam. On the material in this lesson, what is wrong with that?

It is contradicted directly. The report in Bukhari says that what occurs in the mind is overlooked as long as it is not acted on or spoken. And in Abu Dawud, Companions who found in themselves something they could not say out loud were told that this was clear faith, not that they were in danger. The belief does more damage than almost anything else in this pattern, and it does not come from the sound material.