CHICAGO — Carson Benge forged quite a relationship with the right-field fence on Saturday.

One moment, the Mets rookie was face-planting into that fence, attempting to catch a ball hit by Tristan Peters that caromed off his glove for a home run.

Before long, Benge would clear that same fence, with a shot mightier than the one he failed to catch.

“I like playing the game. I don’t want to be taken out unless it’s anything too serious,” Benge said after his three-hit night — four if you include his face’s collision with the chain-links — led the Mets’ 10-5 victory over the White Sox.

The win was the Mets’ 12th in 17 games since the trade deadline and added another molecule of oxygen to the team’s microscopic hope of a late-season magic trick to reach the playoffs.

Benge’s big week has included contributions from his right arm (he nailed two runners at the plate in the same inning on Monday) and a bat that won’t quit. He began the day with a .905 OPS in August that included a .308 batting average for the month.

And his homer after hitting the fence two innings earlier was just his latest Mets moment.

“Carson said he was even for the day,” interim manager Andy Green said. “He tipped one over the fence and hit one over the fence. He’s a special guy. It’s a lot of fun watching him play baseball.”

The Mets hit five homers on this night, including two by Luis Robert Jr., who is playing in his first series against his former team.

Benge’s two-out RBI single against Luis Castillo in the first inning gave the Mets a fast run after A.J. Ewing singled on the game’s first pitch and stole second.

Bo Bichette’s second homer in as many games extended the Mets’ lead to 2-1 in the third inning. Bichette cleared the left-field fence for his 14th homer this season and continued his torrid month — he entered play with a .947 OPS in August.

Robert delivered a two-run homer later in the inning, following Benge’s second single of the game. It was a homecoming moment for Robert — who heard boos as he circled the bases. Robert spent the first seven seasons of his major league career with the White Sox before he was traded to the Mets in January.

Castillo didn’t survive the inning. The right-hander, acquired from the Mariners at the trade deadline, allowed eight hits and four earned runs over 2 ²/₃ innings with one walk and three strikeouts.

The start was his third in four since the trade in which he failed to complete at least five innings.

Braden Montgomery’s homer in the second inning accounted for the first run of the night against Christian Scott. In the fourth, Benge face-planted the fence pursuing Peters’ shot to right that caromed off his glove for a home run. Benge was briefly shaken up and received a visit from the trainer, but he remained in the game.

“I saw it hit, and I didn’t get the best read on it,” Benge said. “Went back on it, fast toward the wall, kind of caught it in my glove and it popped out as I hit that fence.”

Benge’s homer leading off the fifth was the start of a three-run inning. Before it concluded, Eric Wagaman and Marcus Semien each stroked an RBI single that increased the Mets’ lead to 7-3.

Scott slogged through 4 ²/₃ innings and allowed four earned runs on five hits and four walks with six strikeouts.

“I just didn’t have it today, especially with the offspeed stuff, I didn’t really locate in the zone very well,” Scott said. “I thought the bullpen did a really good job coming in there, cleaning it up.”

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Jonathan Pintaro got a huge out in the bottom of the frame, replacing Scott with the bases loaded and striking out Colson Montgomery to end the frame. The White Sox pulled to within 7-4 in the inning on Braden Montgomery’s walk with the bases loaded.

Austin Warren escaped trouble in the sixth after the White Sox had pulled to within 7-5 against Pintaro.

But Robert created breathing room with his second blast of the game, a solo shot in the seventh. Luis Torrens’ pinch-hit, two-run blast in the eighth was the Mets’ fifth homer of the game.