Lady is encountered as the level boss of Mission 16. The point of this fight is to skip her grenades phase that can cost significant amount of time.
Dante needs to enter this fight with 1.5 Rage-meter for phase skip.
Vergil has to be very specific with his Combos so he can push Lady into a position where PS can consistently hit her. He should buy 5th Purple Orb before entering the fight.
This is ideal fight with Dante.
Ideal fight with Vergil
This is optimal fight with Dante, which skips one extra cycle. Requires specific distance to Gold Release her Rocket without making her knock-back with counter-TMP.