I haven’t seen such an episode, but after a little digging, I think there is one. I’m awful with technology, and apologize for not being able to post a link. If you search online for it (light of the east, armenian catholics) the episode description will come up. Or look at ewtn’s site.
I think it was in season 1, episode 6 (I’m not sure tho if I’m reading the episode list correctly). The episode is entitled “The Armenian and Byzantine Churches”. Sounds like it’s more of a compare/contrast than solely looking at the Armenian church.
DISCLAIMER: Catholic Answers has turned over the archive to Catholic-Questions.org and no longer owns, manages, or moderates the forums. For additional apologetics resources please visit www.catholic.com.