Precipitation type products may be a bit deceiving in this case w/o seeing soundings etc. but the total snowfall shows you're in the thick of it. P-type algorithms & most probable p-type output can be pretty wonky in a very marginal setup like this esp when p-type is even more dependent on p-rate that's extremely hard to predict beyond the e-folding time of mesoscale features (several hours or so)
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Well dang, I just actually looked at a sounding for my area when precip map showed rain, and it was a snow sounding, thanks for letting me know, always a good thing to look at soundings in these types of setups