Assassin's Creed IV: Black Flag Wiki Guide
Assassin's Creed IV: Black Flag - Abstergo Interlude 2
Follow the lady to the elevator as you head up to the COO to meet Olivier. When done talkng, take the take the elevator back down while the IT guy talking to you.
Go to the right and use your new security clearance to get into the other animus. log in and get the file off a computer and watch it, then take the file. Enter the elevator to get to the lobby and give the file to the guy and return to your animus to complete this abstergo.