Sorry, not believing it.
There's absolutely no way a stock M3 can even remotely keep up with a 2012 GT-R on the straights, absolutely none. Keeping up with it on the bends is one thing (driver could be inexperienced) but mashing the throttle on the straights is another.
2017 F80 M3 ZCP Atlantis Blue Metallic on Silverstone II full interior
2015 Tesla Model S P85D