It does:
> [page 5] Just as humans can have free will because we can look at our own mental activities from a distance, so a program can be uncomputable because it can take as input its own self in data form.
But I don't think it holds up, because we don't have full access to our own mental activities, only to a grossly simplified model of our own mental activities.
If not, Godel theorem is irrelevant