Usually, but <d> and <t> are often unlenited after 'ba' in Ulster (and, I think, north Connacht).
I put "He was a doctor" and it was marked correct, but when I mouse over "ba" it says it's conditional.
I think knowing how the hover notes are constructed — apparently by blind dictionary lookup rather than with any reference to the larger context of the example being presented — might be a matter of some interest to learners. This certainly puzzled (and sometimes annoyed) me when I first began working through the lessons. Learning to deal with this sort of distraction is part of the game, eh?