Head over and inside the lamp shop when the mission begins. It'll now be another rhythm mini-game, where you have to time the button presses as they enter the squares. After each little round, there will be a chance to earn some coins by shaking the controller. After Salim enters the scene, there will be one more section to do, then this part is finished.
Now you'll be controlling a RC Car. Drive it under the first laser, then head to the right until you confront the guards. As soon as you gain control again, start driving towards the air duct. As long as you keep driving, the guards shouldn't hit you, but note that one hit will take the RC Car out.
When you get to the air duct, you'll go inside. Here, you'll need to navigate through a series of lasers, scorpions and other obstacles. The scorpions are no problem as long as you keep moving, as just hitting them with the car will kill them. There are horizontal moving lasers, sweeping ones, as well as lasers in place that only permit a certain path be driven. When you confront fans, just drive through them to destroy them. Once you get to the end, drive through the machine to power down the lasers by the gang.
With that down and the guards distracted, head to the right with Bentley and hack the console (Sixaxis control hack). If you want to pick up the time powerups in the beginning, you can, but you shouldn't need them. Remember to hit the left analog stick in the direction of the new rail. Once you pass the first one, there is a narrow path with a lot of bumpers in the way. Make it past that and the next series of rails, then you'll be finished.
Something has gone awry and some gas machines are blocking the way. You'll be controlling Murray here and you will need to stomp to pick up the rat guards and toss them at the machines. Each machine needs to be hit 4 times and it can be a little hectic with all the guards. If you are running low on health, keep killing the guards until you feel comfortable again.
BOSS: MISS DECIBEL
After a cutscene, you'll be thrown into a boss battle with Miss Decibel. You'll automatically have the Thief Costume equipped, which is good as you will be needing it for the first part. There are a bunch of platforms that lead up to where Decibel is, but she keeps breaking them. Use your Slow Time ability to cross them without having to worry about them breaking too quickly. Once you get to where she is, she'll jump and produce a single shockwave, whichafter she'll be dizzy, so whack her good.
The second phase of the battle has Decibel producing a lot of sound rails, which you'll need to walk up to where she is standing. Of course, she sends a lot of little energy balls along them and if you get hit once, you will have to start over from the beginning of this section. Luckily, you can slow down time with the Thief Costume, so use that in conjunction with the platform to recharge your special meter. Once you get to her, she'll attack by blowing some musical notes at you, then do the shockwave, which will make her dizzy. Hit her until she moves again.
When you gain control, use the sword from the Thief Costume to break the chain, then continue along and break the next chain. This portion is the same as the first phase, only she seems a little bit faster. When you get on the same platform as her, she'll attack with musical notes, then a shockwave, then she'll send energy balls that home in on you. You can get away easily by slowing down time. Lastly will be the shockwave that makes her dizzy, which frees her up for some attacks of your own.
The fourth phase is the same as the second. Make sure you replenish your special meter by using the platform on your right as a safe point. Once you make it to her, she'll fly away again and Sly will latch on. Once you land, it's time for the final phase.
She'll retain her attacks from previous stages, like the musical notes and the homing energy balls. It's best to keep the Thief Costume on at all times, as it's difficult to outrun the attacks without slowing down time. Once she does three stomps in a row, she'll be dizzy a little bit, so run up and smack her. This will cause her to charge and what you need to do is make her charge into the three satellite towers. The battle is over once she hits the third tower.