In case you think you've figured out the 2-state solution and you want to check that you can't do better, I've uploaded the number of 1s your machine should output at https://modalduality.org/static/busy-beaver-2.txt, but did not include the actual configuration.
Ah, so Aaronson is talking about the Busy beaver shifts function of 2 there. I gave the answer to the busy beaver function counting the maximum number of 1s.
