Mission 4 usually known as the most RNG heavy mission due the factors like Gyro Blade room however, Vergil can eliminate this by just utilizing OoB from the Torture Chamber to enter Master's Chamber room. Therefore, it will be similar to how Dagon is accessed in Mission 15.
General Info
At the Torture Chamber, this is the collision where you need to touch before attempting to make a clip
Unless you have a back-up Devil Star, you only have one shot to this skip as DT is required to pervent Vergil's knock-back.
Trick up and Aerial Rave B is required to complete this skip.
After you touch the collision, use Grim Grips till you reach 4th pattern then position Vergil right next to the dead fire torch.
DT Alt + Enter + Trick up to clip OoB
un-DT then move into the spot where Master's Chamber door is. You can use the windows as a visual cue.
Jump → Aerial Rave B → Trick up → Aerial Rave B → Starfall to get back In-bound.