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Ok, now my turn.
In the Albert eyes:
May 33% possibility Bernard knows the answers (because of unique 19)
June 50% Bernard knows (because of unique 18)
July 0% (there's no unique numbers)
August 0% (no unique numbers).

If Alberts says: Bernard doesn't know answer (read 0% chance) we need months without unique numbers.

Everything else you can follow in my first comment below

Lol, I mixed up who knows what.

So, they can cross off May and June. But, then if Bernard knows it's a 14th, he still wouldn't know which month.

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