It was mentioned in court media reports that the officer who shot Moore, Officer Kenneth Cha, was the same officer who shot a man in the 900 block of Market Street on Wednesday after responding to what police have said was a stabbing in progress. Flusche died at the scene.
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Police have not released the names of the officers involved in that shooting and would not confirm or deny Officer Cha's involvement.
Department policy is to release the names of the officers within 10 days of an officer-involved shooting.
Moore is currently scheduled to go to trial by the end of May, and his next court date is May 10.
Bay City News contributed to this report.