The Harris County Sheriff's Office said Mark Renee Flores, 46, was killed in a deputy-involved shooting in the parking lot of St. Elizabeth Ann Seton Catholic Church, on Addicks Satsuma Road.
According to investigators, Flores allegedly lunged at the deputy with a knife hours after stabbing a man and stealing his car.
Deputies said Flores was rushed to the hospital in critical condition after he was shot, but later died.
The incident is still under investigation by the sheriff's office and the Harris County District Attorney's Office.
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