Rope-a-Dope, to quote Muhammed Ali.
Trump knew that most/almost all of the people involved with Epstein were Democrats. Trump knew he had no connections to Epstein.
Trump let and in some ways encouraged the Democrats and their MSM media to stir up and froth allegations against him. He watched them call for, RELEASE THE FILES!! And the whole time he was patiently watching them whip themselves into a frenzy over their own guilt, he was chuckling silently thinking, 'what a bunch of schmucks'.
After due time he said, 'OK. I will release all the files, since you are 'demanding' it and you seem to want it so badly.'