The expanded album called The Life of a Showgirl: The Encore made its debut on Friday.
A music video for Patient Zero is set to debut on Sunday during MTV's Video Music Awards, where Swift will be honoured with the inaugural artist director trophy.
Actors Colin Farrell and Dakota Johnson play roles in the video.
"If you're sick of him, I've got you. I was patient zero," Swift sings in the track.
Other new songs included Cleveland!, a reference to the home town of Swift's husband, Kansas City Chiefs player Travis Kelce.
"My baby likes what he likes," she sings.
"He already took me to Cleveland."
The pair married in July after a three-year romance.
Showgirl broke several records when it was released in October 2025.
It became the first album in history in which each of its 12 songs landed in the Billboard top 12 simultaneously.
Its first week set a sales record for the modern music era, based on album sales and streams.
Swift said she wrote the new tracks when she went to Sweden to celebrate the success of Showgirl with producers Max Martin and Shellback.
