Do you reshuffle after each faction has (1) taken each card, (2) taken all of the cards it bid for or (3) wait until every faction has taken all its cards before reshuffling?
It's (3), the example is somewhat misleading because it assumes that only FAPLA got a card.
But I think there can be no card shortage because even if all 4 players each bid for 5 cards, that's all 20 cards. Or did I miss something?