I think it would all depend on how souls were created, in this universe.
Now, if they could only be created by God, in his workshop or something, and he sends the souls to be joined with living creatures, then the ball is in God’s court. He could send the souls to whomever he wished. Maybe he’d only give humans souls. Maybe just animals. Maybe all living organics things. Maybe all life, including technological life.
And you’d think, if he didn’t give A.I.'s souls, they really wouldn’t be A.I.'s…there’d be something obviously “missing” in them, in the way they behaved.
And, if the Universe is completely predestined, and God is omniscient, then God would have decided already weather anything besides humans would be given souls.
Now, on the other hand, there’s the possibility that god doesn’t actually create souls himself. They’re created by the formation of life, like a magnetic field is generated by putting current through loops of copper wire.
Now, maybe God specifically designed the universe so that souls could exist in the first place. And/Or maybe he created the first life forms with the first souls, and let them generate their own decendants—with their own new souls—through natural organic methods. (Evolution, biological reproduction, etc.)
Now, god might have already designed the universe so that only his own creations could generate souls. Or he might not have. Maybe he wouldn’t have known beforehand that his creations could create soul-generating beings on their own. Or maybe he just wouldn’t care.
Now, we’d have to figure in God’s personality. Maybe he’s a jerk, and he’d cast the souls of the artificial beings into limbo, just because their existance wounded his pride.
Or maybe he’d have a good-natured chuckle, say “clever little rascals, those humans…I sure didn’t see that one coming!” and let the artificial souls into heaven out of kindness and fairness.
Or maybe he wouldn’t care at all. A soul’s a soul, wherever it comes from. All are welcome in paradise, depending on their merits.
Hell, maybe he’d just think that it was cool that humans could create artificial beings that could gain souls…maybe he’d even feel pride that his own creations—his children, in a way—were able to gain powers rivaling his own. Maybe that’s what he’d been hoping we’d do all along.