Pretrial suppression hearings in Luigi Mangione’s New York case have concluded after nearly three weeks, focusing on whether key evidence can be used at trial.

Mangione, 27, faces state charges including murder for the killing of UnitedHealthcare CEO Brian Thompson, as well as weapons and forgery charges.

Central to the hearings is a backpack Mangione carried at his arrest, containing a 9 mm handgun, a loaded magazine, a silencer, and a notebook allegedly detailing his intent to target a health insurance executive; his lawyers argue the evidence was seized without a warrant and should be excluded.

The defense also seeks to exclude statements Mangione made before being read his Miranda rights, NPR has reported.

Judge Gregory Carro will rule on May 18, while Mangione faces separate federal charges, which carry potential death penalty exposure, with his next federal court appearance set for January 9.