Honestly, the most breathing room I would think fair at all, is 2 turns, global lack of unlucky events - just to establish the playing field.
Beyond that, no complaints - you bought, or sold the scales - now live with them!
I've said it before, and I still believe it. I would rather be taken out early 9 times out of 10, and win once, than play out 10 mediocre games where I never had the faintest whiff of victory.
So if that horrid unluck event happens at the start, then smile, thank everyone, bow out and join another game. No one can actually hate you for being sieged by knights and having your lab burned down.
Re: The most dreadful (random) event?
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