> As the singular First Mover (§2), the BPA is the common source of all powers.
No. At best the BPA is the common source of all powers that actually exist. Some powers cannot exist because they are logically impossible, and acting against the predictions of an omniscience is, by the definition of omniscience, logically impossible. Nothing, not even God, can act against the predictions of an omniscience for the same reason that nothing, not even God, can create a four-sided triangle.
Aquinas, in his Summa Contra Gentiles, for one would disagree. See Theorem 11 (and corollaries):
* https://tofspot.blogspot.com/2014/11/first-way-part-iv-casca...