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I'm still not entirely clear on the memory sharing process. I think you're indicating that if, for example, I run it for four players over Zoom (which is what I'll be doing), they should each send me their own answers to the questions privately and I, as the GM, will distribute those answers randomly to the players and they will share them as their Troopers max out Fatigue? However, that confuses me a little because under Fatigue it says: "When a Clone Troop has run out of Fatigue, they must reveal their Memory to the table and explain how it differs from what is on the card and how it has shaped them in the current conflict." Which, to me, sounds like there should be some agreed-upon answer "on the card" so that the player can describe how their memory is different and shaped them in the current conflict... I think? Because if a player reveals the answer they were given, how does it differ from anything because there is nothing "on the card", right?
As for this
Let's say there are four players. Rich, Kyle, Sam, and Thomas.
Rich, Kyle, Sam, and Thomas write out their Who Were You answers and everyone introduces themselves to the other players with those questions and answers.
Rich, Kyle, Sam, and Thomas then get index cards. You go around the table and everyone writes four Memories.. The GM then takes all the Memories and shuffles them and hands them out to the Players. So Rich, Kyle, Sam, and Thomas should have a Memory they didn't write after the Shuffle. I think probably you can skip the Shuffle and just have everyone hand a card to the person on the right or left to make sure that they don't get one they wrote. Might need to go back and tweak that.
Let's say Rich runs out of Fatigue. He reveals one of his Memories by reading it out loud. Then he tells the table how the Memory is either not complete, or what is different from the memory they revealed. This is an exercise in Yes, Anding. Rich is taking a story beat that someone else created (or they created though statistically that's unlikely) and then building on it. Altering it. It's taking a story prompt from someone else and spinning off of it.