Well, Analytical Modeling Intuition will be useful to resolve the third test, then.
From a philosophical perspective, one would suppose that this scenario would involve the branch of philosophy that is logic.
Now, in this case, one would think to examine it via both formal and informal logic. That is, there is the matter of both deductively valid inferences and logical truths where formal logic is concerned. For informal logic, there would be informal fallacies, critical thinking, and argumentation theory.
Hm, the question is whether the presented scenario is a formal or informal fallacy. Is the source of the error only the form of the argument, or is it also due to the content and context of the argument?
There does seem to be an informal fallacy, a false dilemma. The premise of the argument does erroneously limit the available options. This scenario would present a fallacy of bifurcation, to state it in the simplest form.
One recalls an example of a false dilemma with the simple constructive form. The first premise is that by telling the truth, one incites social tragedy for a friend. Therefore, one is immoral. The second premise is that if one lies, then one is immoral, since it is immoral to lie. The third premise is that one either tells the truth or lies. Therefore, one will be an immoral person, no matter what choice they make in this situation. It is a false dilemma, because there are other options than telling the truth or lying.