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Ive got the same thing here, my friend has same wrx and ran a 13.9 at the track, and I took him from a 40 roll. Ur probably not going to be able to take him from a dig, depending on your traction, but a 40 roll in second gear at like 3500 rpms is enough probably to finish it.
i have driven a new WRX (not the STI) and my stock 06 GT feels a hell of a lot faster. i guarantee you can beat it as long as he doesn't have any crazy mods and you dont mess up.