Dallas wide receiver CeeDee Lamb stretches the ball over the goal line after beating Patriots cornerback Jalen Mills for the winning touchdown Sunday in Foxborough, Mass. The Cowboys extended their winning streak to five games with a 35-29 victory. Michael Dwyer/Associated Press

FOXBOROUGH, Mass. — Dak Prescott wasn’t going to let anything prevent him from enjoying the moment.

While his team celebrated around him after he threw 35-yard touchdown pass to CeeDee Lamb in overtime to beat the New Patriots 35-29 Sunday, the Cowboys quarterback felt pain in his right calf.

It wasn’t the perfect ending, but he was willing to accept it after he helped Dallas survive a wild finish and earn its first victory over Bill Belichick’s Patriots.

“Just came down funny. Didn’t like what I felt,” said Prescott, who wore a walking boot to his postgame news conference. “Life keeps throwing punches and I’m gonna keep throwing them back. … But I’ll be fine. I’ll promise you that.”

Dallas hadn’t won at New England since 1987 and was 0-5 against Belichick. The Cowboys (5-1) have won five straight, their longest winning streak since 2016.

The Cowboys led 17-14 entering the fourth quarter, and that’s when the fun began. The teams traded five scores in the quarter, three in the final 2 1/2 minutes.

New England (2-4) was clinging to a 21-20 lead when sensational Cowboys cornerback Trevon Diggs intercepted rookie Mac Jones and returned it 42 yards for a touchdown – his seventh interception and second pick-six of the season – to put Dallas ahead 26-21.

On the next play from scrimmage, Jones hit Kendrick Bourne for a 75-yard score. Jones then hooked up with Jakobi Meyers for the 2-point conversion to make it 29-26.

But Prescott led the Cowboys on a 40-yard drive, completing a 24-yard pass on third-and-25 to put Greg Zuerlein in position for a 49-yard field goal that sent the game to overtime.

Dallas ended it after New England punted on its first possession in OT as the Patriots dropped to 0-4 at home for the first time in Belichick’s 22 years as coach.

“We went toe-to-toe with them for 60 minutes,” Belichick said. “They just made a few more plays than we did.”

Prescott, whose calf injury will be evaluated further on Monday, finished 35 of 51 for 445 yards, three touchdowns and an interception. Lamb had nine catches for 149 yards and two scores.

Jones was 15 of 21 for 229 yards, two touchdowns and that critical interception, and Damien Harris rushed 18 times for 101 yards and a score.

The Patriots, who came in allowing 19.2 points per game, did a decent job keeping Dallas’ second-ranked offense at bay until Prescott broke through in the second half. He hit Lamb for a 1-yard touchdown in the corner of the end zone to make it 17-14 in the third quarter.

Dallas extended its lead on Zuerlein’s 45-yard field goal early in the fourth.

But New England responded, getting into the red zone on a 21-yard run by Damien Harris. Five plays later, Rhamondre Stevenson ran it in from the 1 and the Patriots nudged back in front.

Dallas had a chance to retake the lead before Diggs’ interception, but Zuerlein’s 51-yard field goal attempt missed wide left with 2:47 remaining.

New England got the ball first in overtime and picked up one first down, but Jones’ pass on third-and-3 was incomplete. The Patriots punted and didn’t get the ball back.

Prescott led the Cowboys 80 yards in seven plays, ending the game when he faked a handoff, rolled right and found a wide-open Lamb, who waltzed into the end zone.

“Just to be able to show the resiliency all night long in all those different moments and be able to have a chance at the end to win it and us to do it speaks volumes,” Prescott said.

SLOPPY START

Penalties and turnovers negated touchdowns by both teams in the first half.

Trailing 14-7, Dallas had a 44-yard pass to Cedrick Wilson nullified by a penalty on left tackle Tyron Smith for illegal use of hands.

It was one of five infractions on Dallas in the first quarter, costing the team 56 yards.

The Cowboys still managed to drive to the Patriots 16 before a pass intended for Wilson was tipped by Justin Bethel and intercepted in the end zone by Kyle Dugger.

The Patriots appeared to add to their lead in the second quarter on a 25-yard TD pass from Jones to Meyers, but that was taken off the scoreboard by their first penalty of the day, a hold on left guard James Ferentz.

New England gave it away on the next play when defensive end Randy Gregory blew past right tackle Yodny Cajuste and knocked the ball free when he sacked Jones from behind. Chauncey Golston recovered for the Cowboys, leading to a 30-yard field goal that put Dallas ahead 14-10.

New England was attempting its first punt of the day on its next possession when Luke Gifford broke through to block the kick and recover it at the Patriots 17.

The Cowboys drove to the 1, where they attempted a fourth-down sneak by Prescott. Officials ruled the play a touchdown on the field, but a review showed the ball was knocked free by linebacker Ja’Whaun Bentley before it crossed the goal line, and the Patriots recovered in the end zone for a touchback.

INJURIES

Cowboys: Cornerback Maurice Canady was evaluated for a concussion in the second quarter after a collision on a kickoff. … Left tackle Tyron Smith left in the third quarter because of an ankle issue.

Patriots: Safety Adrian Phillips left in the first quarter because of a foot injury. … Cornerback Jonathan Jones exited in the first quarter because of a rib injury. … Linebackers Christian Barmore (shoulder) and Chase Winovich (hamstring) were both sidelined in the third quarter.