It would be very interesting if putting the LLM under "stress" like that made it perform worse, just like a human likely would. I could see it rushing to find an answer (any answer!) to help save the earth, vs being thoughtful with more planning.
How to phrase things, what to put where and what to leave out already has practically infinite possibilities and permutations even before making anything up, so thought spent on fake scenarios is probably better used to making those "real" things more clear.
But then again, the only way to know for sure is to try!
[1] https://www.bottlenecklabs.com/blog/autonomously-run-busines...