You still aren't understanding the lecture. The events after Paul's conversion are not reconcilable.To say the least.
Do you think The Eagle Has Landed is truth or fiction?
Can we go one step at a time, then? How about we start with the chronology of Saul's trip to Arabia? The lecturer knows the story like the back of his hand, but I don't.
So I found Meyer's commentary helpful because it goes word by word through the NT, in the Greek.
Meyer looks at possible places where the trip to Arabia could be inserted in the Acts 9 narrative, and concludes that from verses 18-22 the text is too continuous to allow for this - Saul is in Damascus with the disciples for a short time, then is described preaching among the Jews that Jesus is the Son of God and Christ.
Then Luke says, 'after many days' (9:23) which is a phrase that he uses elsewhere to mean an indefinite period, which he may or may not know the exact length of - in Acts 18:11,18 it refers to Paul's year-and-a-half stay in Corinth. Meyer says that this is where the trip to Arabia and the rest of the three year period before going to Jerusalem, would fit, with the plot to kill him occurring near the end of it.
Paul's mission to the Gentiles is not Luke's focus in Acts 9. Not until after the Peter's vision, and the worldwide famine, was Paul commissioned to go to them. Saul is shown to be preaching to Jews in Damascus and Jerusalem, but in Galatians his own awareness of his calling is immediate, so that he describes his trip to Arabia as immediate.
On top of all this, we have confirmation that Luke's account is accurate in 2 Corinthians 11:32-33. "In Damascus the governor under King Aretas had the city of the Damascenes guarded in order to arrest me. But I was lowered in a basket from a window in the wall and slipped through his hands."
This King Aretas was king of the Nabateans, which was apparently he Arabia to which Paul went.