I'm rewatching the series because I love the show. As it fleshes out the Freelancer arc, it sets backgrounds for many of the characters and it reveals more about their nature.
It's shown that Agent Texas was just a robot and imbued with the Beta AI. The Beta emerged alongside the Alpha* but was never experimented upon, unlike the Alpha. It makes sense because the Director projected the Beta as Allison. He could torture himself (Alpha) but he wouldn't stand to have anything remotely tied to Allison to be mutilated.
Connie (CT) figured it out and eventually Carolina did too.
One fundamental rule with AI fragments was that each was forbidden from communicating directly with one another. In that case, why was Agent Texas--an AI--given Omega? It's not likely she would have needed it for augmentation as she already possesses the same enhancing ability.
It flies directly in the face of what Dr. Leonard strictly enforced as a rule.