The real problem with Dooku...
...is that all his attacks take up too much damned time. You have a 5 minute timer in PvP and he alone can eat up 1/3 of it with all his counterattacks and bonus attacks. In general counterattacks ...
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I personally rarely ever run out of time. However, I do get hit 4 times (I swear it feels like more sometimes) fairly frequently, to where he easily takes me 3V1 if I leave him for the end, and have a slightly beat up team. The other day I had a half health Sid, Boba, and Chewie at the end, versus a 3/4 Dooku. The RNG must've been his side. He Crit on almost every hit and hit twice our more per turn. Meanwhile I'm putting out the low end of damage. Oh well.
