The New York state judge overseeing Luigi Mangione’s murder case on Wednesday delayed the start of his trial, hours after a US district judge did the same for the parallel prosecution playing out in federal court – reintroducing a scheduling conflict between the two cases.

Luigi Mangione’s federal trial over the killing of a UnitedHealth Group Inc. executive was tentatively delayed by about a month to Oct. 5, giving him and his lawyers more time to mount a defense in a ...