We don't know any physical processes that allow to compute Turing-incomputable functions. An assumption that the brain uses such a process is not based on any positive knowledge.
So instead of making any unjustifiable claims like "everything physical is computable" you should instead just say "I believe consciousness is computable and that is why it is possible to instantiate it on any computational substrate, including strategy games like Age of Empires, properly arranged dominoes, and water wheels".