Since God knew this would happen, is it done without His approval?
Nothing that can be done in sin can win God’s approval.
But, it could be allowed to show what man is capable of when he tries to be independent of his Creator.
How many times has this been explained to you yet you continue to try this ploy of shifting blame for man’s sins to God his creator? You are one dead souled puppy and you seem to have to work at it to remain a dead soul!
His "knowing" what will happen does not preclude His approval. Example: You are looking out a sealed window and notice a child chasing a ball into the street. You also notice a truck barreling down the road. You know what is about to happen but cannot prevent it from happening.
God has given man the gift of "free will". We choose how to use it.