Randomness doesn't have any real impact on whether a problem is computable. Just model the distribution of the random variable. Non-deterministic Turing machines are a thing.
I interpreted it to mean that we can predict the outcome of it, you interpret it to mean that we can model it.
Either way, maybe it doesn't matter since the original proposal is that consciousness is a subjective experience and there isn't an obvious way to define how to programmatically create it i.e. compute it.
And of course all TMs are just theoretical models. Non-deterministic Turing machine equivalents in particular don't physically exist and may be physically impossible.
But of course if there is indeed true randomness in nature that needs to be modelled, that same randomness can be used a source of true randomness for computation, and you can then build computation that does have stochastically determined results.