ICE agents showed up at the NYPD precinct where one of the teen migrants busted in the mob attack on two cops in Times Square was being held — but were turned away, Police Commissioner Jessica Tisch said Tuesday.

Tisch made the revelation during a news briefing where she also slammed the progressive City Council for trying to scrap the NYPD’s gang database, saying it was the reason cops were able to nab several of the suspects so soon after the Friday evening melee.

“You can’t fight organized violence with blindfolds on, and without this tool, we’d lose the edge that keeps our city safe,” Tisch said, calling the database “one of the most critical tools that we have to protect our cops and to protect our communities.”

“That’s why it absolutely defies common sense that our City Council is looking to abolish this database,” she fumed.

“We need our City Council to stop legislating against our cops and to start legislating for public safety.”

Police nabbed three of the suspected attackers the day after the caught-on-camera scuffle — all of them “repeat offenders” who were previously tied to strings of robberies across the city, Tisch said.

Among them was a 12-year-old boy linked to the Diablos de la 42, or Devils of 42nd Street, an offshoot of the violent Venezuelan gang Tren de Aragua, according to law-enforcement sources.

The pint-sized perp not only was arrested in August for allegedly being the main “aggressor” in a violent subway mugging — and then released with just a slap on the wrist — but is also believed to be the ringleader of a marauding group of youths responsible for robbing several New Yorkers in Central Park that summer, the sources said.

“Make no mistake, this is not low-level crime, it’s organized violence carried out by gang members that we’ve already taken off the streets for preying on New Yorkers,” Tisch said.

“And now they’re back, ambushing cops in the middle of Times Square,” she continued. “It’s not a fluke, it’s a system failure.”

The 12-year-old, along with a 16-year-old and a 17-year-old, have all since been released on charges including attempted felony assault, inciting riot and reckless endangerment.

A fourth suspect, believed to be 19-year-old Yeferxon Jose Mijares-Hernandez, turned himself in Sunday and has since been released without bail on a charge of attempted assault. He is due back in court June 20.

US Immigration and Customs Enforcement showed up unexpectedly at a stationhouse on Sunday — but were told they weren’t welcome, Tisch said Tuesday.

Investigators are looking into how the feds were called as local sanctuary city policies bar the NYPD from cooperating with ICE on civil immigration enforcement.

“We are also aware that ICE was at one of our precincts Sunday morning and while we are looking into how they got there, I want to stress that our officers followed procedures outlined in our January directive,” Tisch said during a press briefing with other NYPD officials and Mayor Eric Adams.

“I was surprised that ICE was at the precinct because ICE shows up to do civil immigration enforcement,” she said. “[Police] did not turn the person over to agents at that time.”

The Jan. 18 directive gave NYPD cops the green light to cooperate with the feds in criminal investigations, but drew the line at helping ICE in civil matters like deportation proceedings.

The Big Apple’s sanctuary city status has been a sticking point between police and ICE, with the NYPD under orders not to cooperate with federal immigration authorities in turning over migrants for deportation once they are in custody.

Adams, who has recently waffled on his support of the policy, said the tip to ICE could have come from a bystander or witness.

“We don’t participate in civil enforcement. If some witness out there saw these officers being attacked, and all of a sudden they decide to do their tips, we have nothing to do with that. We don’t coordinate on civil enforcement. I want to be clear on that,” Adams said.

Asked if he believed the suspects in the attack on the cops should be deported, Adams stressed again, “Once you are convicted and once you serve whatever time it is, you have abdicated your right to be in this country.”

“You shouldn’t be preying on innocent New Yorkers,” he added.

“Once you do that, you have lost your right to be here in what I believe is the greatest country on the globe.”

The officers, who escaped without serious injuries, were patrolling the packed intersection of West 42nd Street and Eighth Avenue ahead of an open-air boxing match there around 7:35 p.m. Friday.

That’s when they spotted a mob of 10 to 12 surrounding three other youngsters in what Tisch called a “wolfpack-style robbery.”

As the cops stepped in, they became the group’s new targets – with video obtained by The Post showing the mob swarming the officers and hurling kicks and objects at them.

“They were ambushed, pelted with scooters, basketballs, and other makeshift weapons. This was a targeted attack, planned, deliberate, and carried out with intent. And it will not be tolerated,” Tisch said.

The 12-year-old brat is seen in the footage swinging a scooter before he hops on board and zips away from the scene.

He and the two other cocky teens taken into custody the next day posted pictures on social media of themselves throwing gang signs from inside a cell at the police precinct, with one seen handcuffed, according to the images obtained by the post.

It’s unclear how they were allowed to have a phone inside the holding cell, and

NYPD Chief of Department John Chell said Tuesday that cops were less than pleased, and said “we’re looking into that situation.”

Tisch told reporters that a fifth suspect, a 16-year-old “recidivist,” was taken into custody Tuesday, but cops said later that the teen was released without charges.

Three other boys and young men, between the ages of 15 and 20, are being sought in the brazen assault, the NYPD said Tuesday as it released surveillance photos of the wanted suspects.

Police said 37 members of the baby-faced “Diabolitos” crew have been identified in the NYPD gangs database and have 240 arrests between them.

Cops have seized 107 guns from the TdA this year alone, officials said.

— Additional reporting by Amanda Woods