Back here Gloria happily walks away and you can grab her trophy which we'll need to use here in a bit. Now from here you can move into the Asylum Courtyard. A scene will occur when you enter.
After the scene walk forward and there is a big stone pillarish thing in front of you with a kind of broken wall to the right of it. Use your levitation ball to land yourself on this broken wall then on top of the pillar you'll find a Psi-Card. Now, drop back down by the entrance and look at that pillar, now head around to the right. When you get to the corner look up and you should be able to see a brain in a jar, use levitation to jump up there and get it.
Jump straight down from here and straight in front of you there is a wood plank leaning up against a building, stand on the closer side of it jump up with your levitation ball to see that there is a pole there. Grab it and swing to the other pole in front of it then up to a ledge with a Brain on it.
Now let's return to the entrance again and this time head to the left, not far and you'll find a section you can jump up on, from here look up a bit and you'll see a Psi-Card, grab it and now in front of you is a pole you can jump on, now from this platform there is a tight rope that leads in to a room, you can go in here now if you want to get introduced to Edgar, one of the people you have to help. When you enter there will be a short scene where you learn of what is troubling him. After the scene is over there is a Psi-Card in his room and a full Psi-Challenge Marker on the beams in the top of his room, you can use your levitation ball to jump up to it.
Exit his room via the tight rope and glance to the right of where the rope ends, you should be able to see a brain that you can go over and get.
From this brain, if you are facing the wall, jump up with your levitation ball and go backwards where you'll find a crowsnest that has another Brain in it. Jump up toward this and when you are above it hit the attack button to slam into it. You'll probably end up back on the ground now though, so work your way back up to where you got the second to last Brain and jump over to the next ledge where a Psi-Card is.
Now, the first mind over here we are going to go into is the guy standing on the ground talking about some sort of battle, but first since we just got 4 more brains I'm going to call Cruller out of my ear and head back to HQ, after you're done there tell him you want to return to the field and you'll end up right back in the Asylum Gates area you left from. Wonderful.
Now just go over to the skinny tall legged dude and slap that door on his head!