The more science discovers about the predictable, deterministic behaviour of material entities, the further it gets from being able to explain the unpredictable, but not random, behaviour of the human species.
Unmitigated, scientifically illiterate, illogical, self-contradictory drivel.
Quantum mechanics seems to be inherently non-deterministic (at least with regard to 'measurements'), and more and more of the strange predictions it does make are turning out to be correct.
There is a word for systems that are unpredictable but not random, it's called
chaotic, which means deterministic systems that even unmeasurably tiny changes in initial conditions make very large differences to outcomes.
Regardless of all that, it doesn't change the nature of the argument that it is (even in principle)
impossible to say that some phenomenon cannot have a physical explanation, without claiming omniscience. The whole of physics was transformed by the discoveries of quantum mechanics and general relativity, nobody can possibly rule out other, equally significant changes in the future.
And you still haven't made the slightest bit of progress in addressing the basic contradiction in your notion of free will (being able to have done differently without randomness), which makes it
logically impossible.
The logic-free car crash you call an 'argument', appears to be based on two premises: the existence of your nonsense version of free will, and the impossibility of it having a physical explanation, and both of them are false. Your version of free will is logically impossible (because it's self-contradictory), and, if it weren't, you couldn't rule out a physical basis for the reasons given above.
Isn't it about time you at last admitted that you don't have the "sound logic" you claimed, just as a matter of basic human honesty?