Rank is the optimal clear with Orb manip but, it's barely possible and hard. Because your stylish average gets lower as you try to build for the Orb manip instead of full kills. It's also hard to not take lava damage before entering the Vendetta room.
The decision on the rank goal or Orb manip depends on the count that you ended up in Mission 2
General Notes
You can get on the pipe faster with Air Hike → Rainstorm alignment but its safer and more consistent to just jump from the platform that is next to the ladder.
There is a behind the machinery which can be a good back up. Extra converts into 1,000 which can be useful for safe route.
The lift takes a minute from activating to letting you jump off it, pausing the game pauses its descent and so does the loading. Therefore, Activate Elevator → Pick Vendetta → Pick Flame Heart.