After nearly becoming the first team in MLB history to get no-hit for 11 innings, the Yankees’ offense finally came alive and beat the Brewers, 4-3, in 13 innings.

Oswaldo Cabrera finally gave the Yankees their first hit — and run — with one out in the bottom of the 11th to tie the game and after Nick Ramirez gave up a pair of runs in the top of the 12th.

Giancarlo Stanton tied it again with a leadoff two-run homer that drove in extra runner Gleyber Torres.

And after getting a scoreless inning from Anthony Misiewicz in the top of the 13th, Kyle Higashioka won it with a run-scoring hit to knock in extra runner Everson Pereira with one out in the bottom of the inning.

They also got another gem from Gerrit Cole, who moved closer to winning his first Cy Young Award with seven shutout innings. Cole lowered his AL-leading ERA to 2.79.

Milwaukee right-hander Corbin Burnes was even better, as he tossed eight no-hit innings before being removed after 109 pitches, one shy of his season-high. 

Burnes was replaced by Devin Williams, who pitched the ninth and Abner Uribe the 10th. 

Against Joel Payamps in the 11th, extra runner Anthony Volpe — who nearly won the game for the Yankees in the 10th with a shot to right — moved to third on an Everson Pereira groundout before Cabrera ripped a double to right. 

After Higashioka whiffed, DJ LeMahieu walked and the Brewers intentionally walked Aaron Judge to load the bases for Gleyber Torres, who grounded out to get the game to the 12th.

Burnes retired the first dozen batters he faced before he walked Giancarlo Stanton to start the bottom of the fifth. 

Stanton walked again with one out in the 10th and with extra runner Aaron Judge at second, Volpe sent a long fly ball to the wall in right-center where Sal Frelick made a terrific, game-saving catch, as he collided with center fielder Joey Wiemer. 

Cole and Burnes remained locked in a high-level pitchers duel throughout the afternoon, as Cole also became the first Yankee to reach the 200-strikeout milestone in three different seasons with his strikeout of Andruw Monasterio.

He pitched around back-to-back two-out singles in the second, stranding runners at second and third.

Cole also escaped a two-out double by Brice Turang in the fifth.

Burnes, meanwhile, cruised for much of the early going.

His leadoff walk to Stanton in the fifth was followed by Isiah Kiner-Falefa grounding into a forceout. Kiner-Falefa stole second and Everson Pereira walked with two outs, but Oswaldo Cabrera popped out to end the inning.

Cole left after seven innings and 106 pitches.

Wandy Peralta tossed a scoreless eighth, Clay Holmes the ninth and Tommy Kahnle the 10th.