I feel as if I already know the answer, but I'm just sayin'...seems like the dude does a whole lot more walkin' & talkin' rather than embodying the "run & gun" maelstrom this evolved from.

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"…what awaits each individual upon arrival in heaven is eternal bliss, divine rest, &...10,000 dollars cash." – Eric Cartman

No, there is no run button. Apart from the fact you get faster when you get transformed into a strogg.