A man who died in police custody in a Brooklyn courthouse had been released from the hospital two weeks earlier after suffering a blood infection — one of five fatalities of people in NYPD and Correction Department custody since Aug. 23 that are now the subject of a series of external and internal investigations.

Christopher Nieves, 46, was found dead inside a holding cell in Brooklyn Criminal Court by NYPD cops and Department of Correction officers about 10:15 p.m. Aug. 29.

One day earlier, after a shoplifting arrest, he had been hospitalized for withdrawal symptoms, treated at Woodhull Hospital and released to Brooklyn Central Booking. Police sources have said they suspect Nieves died from a preexisting medical condition.

His cause of death has not yet been determined by the city Me

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