Oh and happy cake day btw

Syntactically speaking yes, exactly.

But we would likely infer what the answer is because we can see what the person means for us to read, just like we can see from the original question that the person writing it means for it to be a set up to show this fun little paradox that we all enjoy.

Then we get into language as presented and language as intended and concepts around communication having the purpose of conveying an idea and all of that fun linguistic conversation!