The correct answer is mysterious
I would say that Odysseus is perhaps best-known for his cunning, but I guess bravery can be a good answer as well.
Answer:
Alright thank you so much for informing us ♡ Glued
The answer is me. Would you like Fred and me to leave for lunch now? Because if you were to say this without Fred you would say, "Would you like me to leave for lunch now" rather than, "Would you like myself to leave for lunch now". So your correct answer is me. Saying myself sounds awkward and is not the correct terminology for this phrase.
I hope this helps!