Well, was it worth it, Patriots?

Were those four catches for 56 yards and a meaningless touchdown in a 43-0 rout of the hapless Dolphins last Sunday worth the 13 days of headaches you brought upon yourselves for signing Antonio Brown?

You defiantly and — it seems — blindly signed the player who everyone, with the exception of those in cult-like “Patriots Nation,’’ knew was a troubled, radioactive, despicable human being.

And after New England’s late Friday afternoon news-dump release of Brown, the question for Patriots owner Robert Kraft and head coach Bill Belichick is this: How’d it work out for you?

You think Belichick enjoyed the daily grilling from reporters about Brown, a receiver his team never needed in the first place?

The Patriots’ surly coach grew so agitated Friday by the questions about Brown, who faced a fresh set of allegations of misconduct for sending threatening text messages to a woman he allegedly had sexually harassed, that Belichick pulled a Ray Handley and abruptly cut his press conference short and stormed off.

Brown, whom the Raiders finally rid themselves of when they cut him on Sept. 7, had not been a member of the Patriots for four days before he was accused in a civil suit of sexually assaulting and raping his former trainer on three separate occasions in 2017 and 2018.

He had not even taken the practice field in a Patriots uniform before Belichick was forced to stand at a podium peppered with questions about the rape allegations.

This was a rare case of the Patriots’ arrogance backfiring on them. Badly.

Sure, they’d taken on their share of reclamation projects, players who had issues elsewhere, and lobotomized them into dutifully following the “Patriot Way.’’ Randy Moss became a terrific player for them. So, too, did Corey Dillon. There were others, too, who found success in New England after being deemed problem children elsewhere.

But Moss and Dillon and the others were not Brown. It’s an insult to those players to place them and their previous issues in the same sentence as Brown.

It shouldn’t have taken a lot of research on the part of the Patriots to realize what kind of bad news this guy is and has been. The Patriots should easily have picked up on the neon signs of what a knucklehead Brown is based on the way he threw away $29 million in guaranteed money in Oakland, where Raiders coach Jon Gruden bent over backwards to appease him.

What a laugh Gruden and the Raiders must be having now.

I understood the initial argument that if Brown was going to work out in any locker room on any team and for any coach, it probably was the Patriots and Belichick and Tom Brady.

But what kind of due diligence was done by Belichick and his people on this? They handed this guy a $9 million contract on a Saturday and got blindsided by news that he had been accused of rape on Tuesday, three days later.

Really?

The Jets should hope Belichick’s coaching staff and players are that ill-prepared for Sunday’s game. Maybe they’ll have a chance.

To review the Brown timeline since the Patriots signed him on Sept. 7:

• On Sept. 10, he was accused of rape in the civil suit.

• On Sept. 13, he reportedly lost his endorsement deal with helmet manufacturer Xenith after the sexual assault allegations surfaced.

• On Sept. 15, he played his first and only game with the Patriots.

• On Sept. 19, Nike ended its endorsement deal with Brown despite having released a signature sneaker for him in February.

• On Sept. 19, the NFL received a letter in which a lawyer claimed Brown sent the lawyer’s client “intimidating’’ text messages after her allegations about Brown’s past behavior were made public in a Sports Illustrated story earlier in the week.

• On Sept. 20, Belichick, annoyed by questions about Brown, prematurely ended his press conference and walked out.

• On Sept. 20, hours after Belichick walked out on his press conference, the Patriots released Brown.

Not a banner day for the Super Bowl champions, who should have been better than this from the start.

“We appreciate the hard work of many people over the past 11 days, but we feel that it is best to move in a different direction at this time,” the Patriots said in a statement.

Huh?

Who exactly was doing all the hard work, and exactly what work was done?

It sounds like someone in the Patriots offices was working on the Penske file instead of doing the proper due diligence on Brown and the airline carousel of baggage he brought with him to Foxborough.

Can this please be the final NFL chapter for Brown? Hasn’t everyone had enough of this guy and all these months of nonsense that morphed from diva drama to team-dividing petulance and now has turned dark and disturbing?

Enough is enough.