I'm not sure there is a "correct" pronunciation for those.
On paper, it's still
[əjə], suggesting that it would be more "standard" to articulate the [j], but that seems fairly outdated because, by and large, nobody does, and dropping the [j] doesn't strike one as markedly colloquial the way, for example, dropping the [dʲ] in будет does. It's more of this ivory-tower approach of Russian academic linguistics, which often results in learners hearing different pronunciations from the ones they've been taught to expect, while rank-and-file native speakers are at a bit of a loss to explain what happened there.
I'd say the first one you listed is the most common and "neutral" one, but generally it's free variation.