ANY car with summer tires in the snow will end up beached, no matter the traction control capabilities. The compound of the tire isn't made for anything below a certain temp - which is well above freezing. Good luck with your repair bill.
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Just a girl and her 863 ponies...
2013 Santorini M3, 2016 328i Alpine White Wagon (Lab hauler), 199x wrapped E36 M3 (because racecar)
///M-Flight
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