Taylor Swift was coolin' out in frigid NYC Friday night with her parents, Scott and Andrea, and a friend -- after she was dragged into the messy legal battle between her close pal Blake Lively and Justin Baldoni.

The Grammy-winning singer hit the streets of Manhattan with her buddy Ashley Avignone, and both ladies looked chic in their fancy outfits.

Check out photos snapped by paparazzi and obtained by TMZ ... Taylor was dressed in a black jacket, mini skirt and knee-high boots. Ashley was decked out in a leather trench coat, black top and white pants.

The women were hungry so they grabbed a bite at Nobu Downtown in the Financial District with Taylor's parents, who also received the star treatment from the paps. Scott and Andrea were photographed as they arrived and walked inside the restaurant.

Taylor's night out comes just one day before her boyfriend Travis and his Kansas City Chiefs play their first playoff game this season against the Houston Texans.

But, more importantly ... it was the first time she was spotted since being name-dropped in a lawsuit from Justin against Blake and Ryan Reynolds.

It's expected Taylor will make one of her grand entrances at Arrowhead Stadium in KC — but we'll just have to wait and see what today brings.

Should be a helluva game.