Belly Of The Beast
Gain Access to Bridge
Video Walk-through
From start to finish, this is about as clean a run through the bridge as you're likely to get.
Hope you're ready for a fight, because this level is definitely going to be one of the toughest of the game thus far, both because of the number of enemies and because of the fact that you'll only have five minutes to reach the bridge, grab the launch codes, and exfiltrate. Unfortunately, slicing the computer on the bridge takes a full minute, so you'll be exceedingly pressed for time. A proper balance of survivability and speed will be required here, so make a save at the beginning of the level, immediately after the first four droids are taken out; this will be your backup in case something goes terribly wrong.
After you breach the first doorway here and take down the droids, be sure to grab the anti-armor ammo lying next to the door before you charge through. As you head down the hallway here, you'll be accosted by a Droideka and numerous battle droids. There's a box of EC grenades behind them, so use all of yours to take the enemies down and quickly retrieve the grenades before moving on. If you need to heal, there's a bacta dispenser here, and it'll be the last one for a while, so quickly make use of it.
The next curved hallway seems a pair of droidekas coming at you. Laying an EC grenade at their feet will let you disable their shields; focusing your squad's fire on one of them will quickly dispatch them without further explosives. At the end of the hallway, though, are a pair of tougher enemies, in the form of two SBD's. This is where you'll want to use your anti-armor ammo; a pair of shells at their feet should take out the duo without a problem, leaving you with a door to blast open. Yet another pair of SBDs will be waiting in the room beyond, so be ready with an explosive solution; it's probably best to just use up the remaining pair of anti-armor shells to quickly get them out of the way, but there is a box of thermal detonators in this room, so feel free to use up any of those that you have, as well.
There's no bacta here, so if you're wounded, you'll just have to grin and bear it. One final corridor is all that stands between you and the bridge, but it'll be absolutely full of droids, including an SBD at the very far end. If you have any remaining grenades, this is probably where you're going to want to use them, as your priority should be to clean the enemies out as quickly as possible and get to the bridge foyer, where you can finally heal up and get ready for the assault on the bridge itself. The SBD is going to be your primary concern here, so try to nail it with an EC grenade before commanding all of your squaddies to blast it to be bits.
The door to the bridge is, of course, locked, but before you blast it open, command any of your squaddies to heal up at the bacta dispenser nearby; you're going to need to be at full health for the next little melee. The quickest you could possibly get to the door without dying is around two minutes, leaving you three in which to infiltrate the bridge, download the codes, and leave the ship. You can do it with around a minute and a half remaining, if you took longer than expected to get here, but it's going to be pretty tough.
Download Launch Codes
After slicing or blasting the door, send your squaddies inside and get them to target the three ceiling turrets in succession. There are numerous battle droids here, but none are of the Super variety, meaning that they're far less dangerous to you than the turrets are. After they're destroyed, get rid of any remaining droids in the area, then, if you have two minutes or more remaining, start placing mines on the small pillars near the two doors leading into this area. Mines only take a second to attach, so you can perform this task yourself if you want to get your teammates healed up at the same time. If you're under two minutes by the time the turrets are destroyed, you can safely ignore this step and instead command your team to start healing themselves up at the bacta dispensers near the console. At any rate, you should be sure to grab the EC grenades and the extra anti-armor ammo from the small platform across from the console; this will come in handy quite soon.
When you're all healed up and ready to proceed, set two of your squaddies into sniping positions along the walkway while a third is tasked with slicing the console itself. As you might imagine, the droids on the ship don't take too kindly to your hacking, and will start charging the bridge. Initially, only a pair of droidekas appear, but these will quickly be supplemented by no fewer than four SBD's, two for each doorway. The mines won't be too effective, although they can deal extra damage to the baddies, especially if you shoot them when an SBD is walking by. Beyond those sources of damage, though, you'll want to use up all of your anti-armor ammo on the SBDs, as well as the EC grenades, to protect your trooper as he takes a full sixty seconds to hack the console. If he goes down, retask one of your snipers to finish the job.
When the launch codes are in your possession, your squad will automatically disengage from their positions and start moving towards the aft door, around the spire from the console. Do so yourself and run to the dropship that appears to finally get out of this level.