John Cornyn’s Biggest Challenges as Republican Senate Primary Heads for Runoff in Texas NYT Par : Carl Hulse 4 mars 2026 à 19:32 The veteran Texas senator faces what promises to be a bruising runoff with the state attorney general challenging him from the right. But he had a stronger showing than expected. © Jordan Vonderhaar for The New York TimesSenator John Cornyn of Texas came out just ahead of Ken Paxton, the state’s attorney general, in the first round of primary voting on Tuesday.