We might be bad at generating uniform, independent random numbers, but I submit that we’re still capable of generating some true randomness. Perhaps take the be

We might be bad at generating uniform, independent random numbers, but I submit that we’re still capable of generating some true randomness. Perhaps take the best of both worlds and mix in new entropy at each step? Something like, take the previous 2-digit value, add a "random" digit and generate the next output from that?