I don't know what is meaning the "wound" in the sentence.
Three men dressed for business travel in jeans and dress shirts loaded backpacks into the trunk of a black coupe and wound their way through the center of a major European city.
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Wound is being used here as a synonym for
Wound is the past-tense of
wind (pronounced with a hard "i" sound, like "kind"), where someone who is
winding is walking back-and-forth.
So, if someone "wound up somewhere", then they walked back-and-forth, definitely not directly, and eventually arrived at the destination.