Augustine wanted him to escape ith other conduits. Thus the DUP made it possible. But in Hank perspective, it was a "golden opportinity". He wasn't aware it was a fake one.
For me, it's clear that the deal between Hank and Augistine was made well after the breakout. Augustine captured Hank at the Akomish village. Delsin came to Seatle and started to fight the DUP. Then she planned to trap Delsin with the use of Hank.
How Delsin could learn something in Hank mind that didn't happen yet?
What do you mean "learn something from Hank's mind that didn't happen yet"? The deal between Augustine and Hank was not in Delsin's original "read" of him in the Akomish village. I think you're mixing up scenes, Delsin didn't find out about the deal until the very end of the game. Why on earth would he have helped him at the end if he had read it at the beginning?