You start out playing as Rioichi, and you need to get onto the roof, which is easily done by using the rope. Once inside, climb the plant on your left to get to the balconies. Jump from balcony to balcony until you get to the open door, so go through it.
You'll now be in an area with a lot of spotlights, so carefully make your way past the first three until you get into a room with water. Use the Leaping Dragon technique to launch Rioichi past the pair of spotlights in the water. As soon as you land on solid ground, climb the tree to your left and use the fans to cross the area with guards below. There is a Secret Sly Mask on the wooden platform past the third fan.
When the coast is clear, jump down and go through the doorway, then continue by jumping over the broken areas on the wooden planks. In the next room is a bunch of statues that periodically smash themselves together. Launch yourself past them when they are apart. Drop down in the next room, then launch yourself past the single spotlight here, then climb up into the next area.
There are two spotlights close together here, then a room with moving green lasers on the ground; these lasers are not an one-hit kill. Use the gaps in the lasers to make it to the other side of the corridor. This room has three furnaces, with railings around them, with grates on the sides of the furnaces that spew fire that has a break every few seconds. Make your way to the other side and plant the device so Bentley can do his hack.
This hacking mini-game uses the Sixaxis controller for movement. You need to guide your way through the stage in the allotted time. There are clocks scattered about that will grant you extra time if you pick them up. Once you make it to the second railing, use the left analog stick to "jump" to the right one. If you fall in a hole and off one of the railings, then you'll need to start over. When you make it to the end, go into the hole to complete the hack.
The top of the container with the geisha outfit is now open. You're in control of Rioichi again, so make your way to the end of this corridor and back into the main room. Launch yourself onto the fan in front of you, then onto the rope and climb to the top to trigger a cinematic.
When you gain control again, you'll now be using Murray and are on stage performing for the guards. This is a rhythm-based mini-game where you must hit the correct button when it moves into the designated section. Sometimes, different notes will appear and if you hit all of these, then you will get 50 coins. It's split up into three different sessions and if you miss too many notes in a row, then you'll need to start over. If you successfully finish, then the job will be complete.