This is it, the final mission of the game! When you gain control, walk up to Carmelita and you'll be trapped! You'll now be in control of Rioichi, so use the Leaping Dragon technique to get from point to point, keeping an eye out for the hazard spewing from the pipes, and grab his cane. Once you do, rat guards will come in and you'll have to defeat them all with Murray.
In the next room, it's more of the same with Rioichi, only there's a lot more jumps and hazard spewing pipes in the way. Once you get to the first platform, there will be a few more jumps to get to Bob's cane. Grab it and then it'll be Bob's turn to get Salim's cane.
Jump onto the wall and make your way across, making sure not to get hit by any of the hazards, as one hit will knock you back to the previous checkpoint. The only tricky part is when you have to make it past two geysers on the ceiling, so make sure as soon as you jump on the wall, you press R1 to slide down. Take your time and do not rush, and you should be fine.
More rat guards will appear, so destroy them and it'll be Salim's turn in the next room. The chains here will not fall apart, but you do need to use the Climbing Cobra technique to quickly make it past the geysers before they come back on. The rest of the way should be easy enough without any troubles.
It's now Sir Galleth's turn. Use his Catapult technique to get onto the first moving hook, then when you're lined up, launch yourself to the object to disable the lasers, then drop down onto the platform. Wait for the other hook to come close, then use it to break the next fuse. Use the pipe to get pass the geysers, then it'll be another round of hooks and fuses. Grab Tennessee's cane at the end.
More rat guards will appear, then it will be Tennessee's turn. Shoot the switch, then quickly run across both sets of floor that appear, climbing the pole at the end. At the top of the pole, jump and swing across to the next platform. There's another switch to shoot, then you need to run across the panels when they stabillize. In the last section, you'll need to shoot switches as you're on the same floor, so make sure you do this as quickly as possible.
You're at the end when you go through a doorway. This next part can be a little tricky and requires Tennessee's Crackshot technique. Lights will turn on in a certain order and you need to hit them in that order to proceed. The first one will have 3 lights, then 4 and the last will have 5 lights.
BOSS: LE PARADOX
After the cutscene, it's time for the final battle. Jump and press Circle to land on each railing, while chasing after Le Paradox. Once you catch up to him, there will be a lot of Quick-Time Events. Follow these and if you take too long, you'll either be damaged or be put back at the beginning. The QTE will end when you smack Le Paradox with your cane.
The second phase begins the same way as the first, with your chasing down Le Paradox. The QTE fight with him is a bit longer, but functions the same way. The third phase begins with you rail sliding after Le Paradox. As long as you watch him, you shouldn't have any trouble. The QTE fight at the end is a lot longer than the previous two, but it's pretty much the same. Once you finish this part, the battle and game are over. Enjoy the ending!