I'm genuinely not sure, but if it is literally just one additional word per day on top of the previous words that don't change... I've memorized a length 35+ randomly generated password (with special characters) out of spite just a year ago. I think I will do fine in this game, at least for 20-30 days. My memory might not handle anything more than that
Especially since... if my calculations are correct, doing this game for 29 days consecutively would net you $435K, an amount so large that it is larger than the median wealth in the country with the highest median wealth currently in the world ($413,193/adult in 2024); another few days would get you over the average ($498,290/adult) as well. So there is a pretty strong incentive to just do this full time and really give you all
Fun fact, when I was in middle school in China (not sure if they do it anymore) we were expected to memorize whole ancient Chinese poems and literary critiques written by the likes of Lu Xun... with like a month each. They actually appear on the exams and we were supposed to just know the entire poems cover to cover. Which is about the difficulty of this challenge with way less rewards
I think funnier ways to do this would include progressively introducing weirder words (old English or borrowed words from other languages like rendezvous or schnitzel), roll a dice on how many words are added (jackpot: now remember 30 more words at once!), make you only have 5 minutes to remember and then keep going on a live show, etc... These would make a fun reality TV show actually