So i finally did it.
This is indeed a huge behemoth of learning experience.
Again, thanks to @TazWake for nudges and sanity checks.
I have nothing to add to the hints already given here, so i will not deep dive into every single step.
The only suggestion i can give is: take your time, don’t forget to consider every single detail while enumerating the machine but be careful because there’s the risk of fallint into a huge rabbithole…