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I think you need to call down anyway.

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Against a clear TAG (28/20/2.5/50+) on whom I had a note that said "LRR AA/KK/AK" or something, where I did not expect him to be on tilt, I would would bet the flop HU and fold to a raise, or raise the flop and fold to a 3-bet.

That said, my qualifications suggest this situation will arise very seldom, so I agree, generally, that he needs to call this down HU unless the board becomes atrocious (e.g., AK5 flop, 4th street fills an obvious draw, etc).

In a MW field, I fold JJ if there are 1-2 overcards and an overcall from a player other than the LRRer.