There are many winter weather conditions under which a 3-season tent will fail and all of them are weather conditions where that failure will put your life at risk. On the other hand, a 3 season tent is perfectly well able to shelter you in light winds and light snowfall, where no appreciable weight of snow will accumulate.

Given just how critical the weather is to how your tent will perform, I would look for a forecast of calm winds and blue skies that extends at least one day beyond the time you expect to be out. And remember to take good insulation, including insulation under you when you sleep!

Stay warm and stay safe.