Tier 2 is unlocked after spending 60 research points, so you'll likely not have it until the Sixth Angel.<br/><br/>(You've got 28 research points going now, so if you can somehow get 32 research points from your next encounter, you'll hit tier 2 in time for the Fifth angel.  Naoko provides 1d5 points to a random project, Niki provides an extra research point, but even if you spend all your resources on big-ass magi databases, unless you rig up a new time management option to represent research, it probably isn't going to happen.)