User blog comment:Ubersketch/Nested Buchholz Hydras/@comment-35470197-20190830005618

I guess that the following blog posts on nested worms by QuaserBooster are helpful for you: Also, if you can partially read Japanese, then you can read an article on a nested Buchholz's hydra by mikadukimo here including a link to a full definition. I have partially verified the termination here.
 * 1) https://googology.wikia.org/wiki/User_blog:QuasarBooster/Higher_order_worms%3F
 * 2) https://googology.wikia.org/wiki/User_blog:QuasarBooster/Higher_order_worms_-_more_formally
 * 3) https://googology.wikia.org/wiki/User_blog:QuasarBooster/Second-order_worms_ordinal_analysis_dump

Also, I hope that you will come back to the step-by-step on an ordinal notation, before going beyond \(\epsilon_0\), because you have never succeeded in a formalisation below it.