Discussing the bad argument that you should believe that determinism is false, because if determinism is true, you can't determine whether or not you believe in determinism. So you should assume it is false, since only in that case can you do yourself any benefit or any harm.
Among other things I note that people are convinced by the bad argument for the same reason they are convinced to smoke in the Smoking Lesion.
Another possible rebuttal, even retaining the analytical meaning of the word choose, is to complete the demonstration appealing to the "if I can" in point 5 with:
6a - since you cannot choose free will, then it doesn't exist.
So, for the argument to be complete, a believer would have to add:
6b - I choose to believe in free will.
But then you have to show that you actually chose conclusion 6b instead of simply having reached it, which I don't think can be done.