Prosecutors said Friday that Luigi Mangione’s death penalty case in the killing of UnitedHealthcare CEO Brian Thompson should carry on unimpeded, urging a judge to reject a defense push to dismiss charges and rule out capital punishment over Attorney General Pam Bondi’s public statements suggesting Mangione deserves execution.

The U.S. attorney’s office in Manhattan also asked U.S. District Judge Margaret Garnett to deny the defense’s bid to suppress certain evidence collected during the arrest last year, including a 9 mm handgun, a notebook in which authorities say Mangione described his intent to “wack” an insurance executive and statements he made to police.

“Pretrial publicity, even when intense, is not itself a constitutional defect,” prosecutors wrote in a 121-page court filing, citing prior rulings from the Supreme Court and the 2nd U.S. Circuit Court of Appeals.

As for the evidence, which Mangione’s lawyers contend was collected without a warrant and without him being read his rights, prosecutors said police officers were justified in searching the suspect’s backpack to make sure there were no dangerous items. His statements to officers, they said, were made voluntarily and before he was taken into police custody.

Rather than dismissing the case outright or barring the government from seeking the death penalty, prosecutors argued, the defense’s concerns can best be alleviated by carefully questioning prospective jurors about their knowledge of the case and ensuring Mangione’s rights are respected at trial.