Kill the combat form that runs at you at the start of the level for his sword.
Sword fly to the brute at the first landing platform. Alternatively progress through the room normally.
Progress through the halls as fast as possible. In the second open room (the one with flood) kill the rocket flood and grab his rocket.
You can try the pressure launch, however if you don't get it or if the enemies don't spawn you want to have a checkpoint at the elevator and make sure to revert quickly to avoid softlocking the game.
Kill the three brutes and the jackals at the door at the top of the elevator to progress.
Go up the elevator after the fight and the level ends when you reach the end of the room at the top of the elevator.