Huemers Proof of free will

https://fakenous.substack.com/p/free-will-and-determinism?utm_source=publication-search

Seems like should is doing a lot of work Could also quibble with "I believe I have free will. (empirical premise)" (direct introspection, The illusion of free will is an illusion

Meta argument: This argument holds in a world that is deterministic (assuming people think they have free will in this world). So the agrument proves determinism is false, whether or not it is in fact false.

What about including probabilites ? eg: What if there isa certian proabability that free will

Also seems premise 1 seems wronge "You should believe the truth". Seems like we should only believe what we have rational evidence to support. (Incompleteness) Also doesnt this presuppose free will ? If determinism is true, what does it mean to say "you should you believe the true" will only do what you will do. Seems like the concept of should has no meaning.

Step 5 "So if determinism is true, then we believe only the truth. (from 1, 4)"