I have flown last February on AA CDG to DFW back JFK -CDG in First CLass and the fare basis code ("FBC") was "A".
By the way, I forgot that Transatlantic flights on AA wouldn't give miles on BA Executive Club, so for my First Class transatlantic flights all I got was 0 (ZERO) mile !! Congrats to BA on that one. I am VERY upset.

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AF Red, BA Gold, CO Gold