Andrew Truelove — the alleged “TODAY” show intruder — got to live out one of his dreams when he called Craig Melvin the n-word … at least according to cops, who claim he told folks that was on his bucket list.

NYPD released a narrative based on conversations with a couple of people who say they were there … and one person told them they saw Truelove walk into the 30 Rock lobby and follow an employee into a restricted area of the building.

Another individual — also anonymous, though it appears to be Craig — says they saw a defendant at the bottom of a stairwell … who yelled out their name and then asked for Al Roker.

Officers say they’ve been informed Truelove “proceeded to take steps toward Informant 2 and stated in substance, you’re a n*****. I am informed by Informant 2 that the defendant’s conduct made him fear for his safety.”

Cops say “Informant 2” — who appears to be Craig — asked Truelove if that’s what he wanted to get arrested for … to which he allegedly replied, “I always wanted to call a Black famous person the N-word.”

As you know … Truelove — who has a long rap sheet — was arrested Thursday morning and booked on charges of hate crime burglary, hate crime menacing, hate crime criminal trespass, and harassment after he allegedly got into a vestibule near Studio 1A and approached Craig, who alerted security. NBC stressed no one was injured.