Since Snakes and Ladders is nothing but a Absorbing Markov chain, the results are exactly the same as for that general problem.
www.jstor.org/stable/3619261: How Long Is a Game of Snakes and Ladders? by Althoen, King and Schilling (1993), paywalled.
In the 2020's, this refers to writing down everything you know, usually in some graph structured way.
This is somewhat the centerpiece of Ciro Santilli's documentation superpowers: dumping your brain into text form, which he has been doing through Ciro Santilli's website.
This is also the closest one can get to immortality pre full blown transhumanism.
It is a good question, how much of your knowledge you would be able to give to others with text and images. It is likely almost all of it, except for coordination/signal processing tasks.
His passion for braindumping like this is a big motivation behind Ciro Santilli's OurBigBook.com work.
Bibliography:
Ciro Santilli just always feels that what can be classified as "artificial life" simulators have too much focus on beating more continuous population mechanics, and lack the discrete elements which he feels could be important to AGI: Section "The missing link between continuous and discrete AI".
There is great interest in this direction of research however quite clearly.
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