Yes, libertarian free will is self contradictory, I didn't make it clear that I wasn't making a case for that position in specific, my bad.

What is funny is that it actually is the other way around, determinism entails free will, I choose one thing over the other because of reasons, if non-determisim was the reality then I would ultimately choose one thing over the other because of randomnes, and that is the opposite of free will. If the choosing is done via randomness then there is no choice making agent.