Lucivar has a piled-up resentment inside of him towards Professor Fury.
He was being bullied and mocked because of the professor and was forced to remember his past where the same thing happened to him. Remembering a version of him that he wants to desperately forget.
Because of that, Lucivar takes Professor Fury's scheme personally.
In a battle of wits, the sharpest strategy isn't always a direct strike.
Especially when the enemy is far stronger.
Drawing a greater force than the enemy into the fray is usually the wisest move to pursue.
To maneuver a higher power without the enemy knowing is often a devastating strike—one that could crumble the enemy, under the influence of might they cannot match. Lucivar did exactly that.
Knowing the disparity between him and Professor Fury, a direct confrontation is suicide.
So he needed to have someone as strong or stronger to help him.