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That says NOTHING of him "diligently studying the Old Testament" during that time.Paul spent three years in Arabia before going to see Peter in Jerusalem.
From Paul's writings and actions, it appears that Paul spent those three years in diligent study of the Old Testament.
Galatians 1:18
18 Then after three years I went up to Jerusalem to see Peter, and abode with him fifteen days.
Paul was ALREADY completely familiar with the Old Testament.
Act 22:3 KJV I am verily a man which am a Jew, born in Tarsus, a city in Cilicia, yet brought up in this city at the feet of Gamaliel, and taught according to the perfect manner of the law of the fathers, and was zealous toward God, as ye all are this day.
You are a fake and a fraud.