1. Don't follow the visual guide the game provides. Either hit the buttons slightly early or slightly late. Hitting early seems to be the general consensus, but I got through hitting buttons just after PaRappa's face passed them.
2. If you know you always get line on a specific line, freestyle (Hit extra buttons on the beat).
I'm amazed that Dan hasn't told Drew to aim down sights. It makes tranquing people in the head so much easier. Then again, tranquing people in the stealthy manner is an anti-Dan strat.
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