You said you're here to stop Brainac, that you've studied him. Let's hear the plan.
Firstly, you have to understand that Brainiac is virtually immortal. Existing for thousands of years. He possesses the intellectual plunder of countless advanced civilizations. He's far beyond us. And as history has proven, Krypton's current weapons are useless against him.
Yet here you are. And we still haven't heard a plan yet, General.
That's because he doesn't have one. On account of he's full of shit.