The first thing you need to do to prepare for this is to put the Poppy Tincture in the vent on the roof of the bank, accessed via the painter's lift.
Once you are up there, if you get seen it does not count against this trophy.
Inside the bank, you want to do as little exploring as possible, though you can always go back inside once you get this trophy.
Don't touch any guards, use Displace to pass them by, and avoid the robots. On the second floor, Displace down from the balcony in the office area to open the security doors. On the first floor, use the door partway down the stairs and stay behind the desks to avoid the Arc Pylon. Once you get to the other end, Displace up to the light and then down to the spot against the door so you can quickly enter it. Displace up to the balcony and use your Foresight ability from there to pass through the Wall of Light and place a marker on the other side of a window on the second floor there. Go up to the third floor and loot the place. Press the button and get the items there. Now, you need to get into the hatch on top of the elevator and Displace up the shaft to the next floor. The door up the stairs will be locked. This next bit may take a few tries. Put yourself up against the left side of the doorframe and Displace into the area with the desk ahead. Get the lever from the right drawer and quickly move to the room on the left. You definitely want to save here. Set your Displace target inside the hole in the floor. You'll know you did it right when the silhouette of Billie is pretty far into the hole. Now, just drop onto the vault and loosen all four brakes. Use the key to open the vault, use the dual keys to open the box inside and then swim out of the area to earn the trophy.