Different tires for different states

This might be a stupid question but do manufacturers put different tires on the same cars depending on which state they are going to? I bought my car about 4 years ago in NC. I moved back to Michigan and I am having the worst driving experience during snow. I seem to be sliding and losing traction often where everyone else seems fine. Its a Buick encore gx year 2021. The tires look fine to me but I also don’t know anything about them. Could I need new tires already? If so what is a good tire for the snow. I plan to save up and replace them anyways simply because I do not feel confident driving with these tires.