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A temporary order prohibiting the officer from possessing firearms remains in effect until June 27.
Anyone with information related to the incident is asked to contact the Mount Vernon Police Department.
Centralia police apprehended the man after he attempted to escape on foot a second time.
The man also admitted to four other charges unrelated to the murder.
Officers found drugs and paraphernalia on the suspect upon arrest.
He was arrested June 13 following a months-long investigation into the nature of their relationship.
Police logs state Brennan Haggstrom turned himself into custody just before 5 p.m. Thursday.
BPD was on the scene fast as the incident occurred in front of the police station.
The man is wanted for three different charges and is aware of the warrant for his arrest.
The murder suspect is scheduled to be arraigned on June 14.