May I push back on this idea just a bit?

The Greeks and Romans lacked a sense of predetermination. Fate for them was simply "what would happen." There was no force or power or divinity enforcing this broad eventuality, and so what would happen was quite flexible and could be bent by human choice and decision.

Any number of texts express this. In Aeneid 8.398-399, Vulcan says that neither Jupiter or the fates forbid Troy from standing another 10 years, and Juno knows that she can delay but not prevent Aeneas from founding what will be Rome. The irony of Oedipus the King lies precisely in the fact that he fulfilled the oracle by his own choices and actions, although he was trying to avoid it. Scholars sometime cite Matthew 26, when Jesus told Peter that Peter would deny him three times on the night of Jesus' arrest. Jesus told Peter what he would do, but no one really feels that Jesus made Peter deny him. Peter was "fated" to deny Jesus but not "forced."

The Stoics may be a little closer to predetermination with their "motto" fata volentem ducunt, nolentem trahunt, "The Fates lead the willing but drag the unwilling." But even they do not discount human choice and decision; those are what make us perceive that we are sailing through life or being dragged through.

I think that real determinism doesn't begin until late antiquity with certain Christian thinkers. I'm not convinced that there's much if any of it among the Greeks and Romans.