When Harrison Bader arrived in the visiting clubhouse at Tropicana Field this past Sunday morning, he did so with some important cargo in a plastic bag.

Inside were two bottles of Silver Oak Napa Valley Cabernet Sauvignon, each of them with an additional note above the label written in a silver marker — one to commemorate Ian Hamilton’s first MLB save and the other to congratulate Jake Bauers on his first home run as a Yankee.

Bader walked across the room, and left the bottle for Hamilton in his locker. He then delivered the other to Bauers, who was already sitting at his stall.

“Just a little gesture, nothing big,” Bader said later that morning.

But the center fielder is hoping it might help add to the kind of camaraderie the Yankees want to have over the course of a long season with the likes of Aaron Judge, Anthony Rizzo and Gerrit Cole also playing key roles in their own ways.

“Listen, I think it’s important,” Bader said. “We’re trying to foster a clubhouse full of positivity. We all root for each other, we all pull for each other and we celebrate each other when we have little individual milestones, especially when they help us win. So I think it’s important, just to kind of spread that a little bit and keep the good energy rolling.

“It’s just a nice bottle of wine — a little gesture maybe goes a long way. It’s important to them, too, because there’s a lot of pressure, so when you perform and get that first one out of the way, it should be celebrated. So I’m happy to do it for those guys.”

Willie Calhoun received a bottle of Silver Oak from Bader earlier in the week, the day after hitting his own first home run as a Yankee. Calhoun said it was the first time he had gotten something from a teammate for a milestone since 2017, when future Hall of Famer and then-Rangers teammate Adrian Beltre gave him a gift after his first MLB hit.

Though Bader is now the gift giver as an established major leaguer, it wasn’t that long ago he was on the receiving end.

“I learned a tremendous amount from a lot of good guys in St. Louis,” said the 28-year-old Bader, who broke into the big leagues with the Cardinals in 2017. “I was really fortunate to be in a really good, positive clubhouse with a lot of veterans who just did things the right way and celebrated younger guys when they did something well. So I definitely do my best to kind of pass that on.

“Guys like Yadier Molina, Adam Wainwright, Matt Carpenter, Dexter Fowler, guys like that did a really good job of reminding you that regardless of the outcome, it’s still a game, you gotta have fun.”

Bader’s mementos kept with the theme of the gifts that Rizzo gave each of his teammates on Opening Day this year: two bottles of Italian wine inside a personalized carrying case.

In a twist of irony, though, none of Calhoun, Hamilton and Bauers was on the Yankees’ Opening Day roster, each finding their way to The Bronx from Triple-A over the first month of the season to fill a need. That made their winning contributions all the more significant, and Bader made sure they had something to remember it by.

“It means a lot,” Bauers said. “And it extends beyond just me.”

When Calhoun received his bottle from Bader, the day after hitting a go-ahead home run in the seventh inning of a win over the Guardians, he posted a picture of it on Instagram.

That may have been how Bauers’ mom, Misty, heard about the tradition. So when Bauers hit his first home as a Yankee the next night, his mom asked him if Bader had gotten him a bottle of wine. “Not yet,” Bauers said.

“And she said, ‘OK, well, if he does, then save it. I want to have a glass with you,’” Bauers said.

So Bauers is now saving the bottle for a time when he can open it and share it with his family. His mom told him “it’s a pretty good bottle,” Bauers said, “and she knows a thing or two.”

Calhoun planned to display the bottle in his memorabilia room at home.

But regardless of how nice the wine is (Silver Oak sells the 2018 vintage for $175 per bottle; Calhoun’s bottle is the 2016) — Bader said Silver Oak has become his go-to favorite lately for when he has a glass — his teammates appreciate having him around.

Beyond what he has added on the field since missing the first month of the regular season due to a strained oblique — in addition to his strong defense, he finished Thursday batting .400 with three home runs and a 1.271 OPS in his first nine games, with Judge calling him a “sparkplug” — Bader has made his impact felt in the clubhouse.

“I think it just speaks to the kind of guy he is,” Bauers said. “He’s one of the best teammates I’ve been around. To have a guy like that in the clubhouse is huge.”

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The Yankees through Thursday had used a pinch-hitter 16 times this season — tied for the fourth-fewest in MLB.

Their leader in pinch-hit plate appearances through 38 games? Isiah Kiner-Falefa.

Kiner-Falefa had pinch-hit just 12 times across five seasons coming into this year, but having transitioned into a super-utility role this spring, he already had four pinch-hit appearances through Thursday.

In part because the Yankees value Kiner-Falefa’s contact-oriented approach, in part because of his success with runners in scoring position last season and in part because of how their bench has been thinned by injuries to the starting lineup, Kiner-Falefa often has been Aaron Boone’s first choice to pinch-hit.

Kiner-Falefa was 0-for-3 with a walk and two strikeouts as a pinch-hitter, which is one of the most difficult assignments in the sport.

“I feel like I need to be better,” Kiner-Falefa said this week. “It’s been tough so far. Pinch-hitting’s obviously not easy, especially when you’re coming in in high-leverage situations. But I like being in those situations. You kind of just need to find a way to find that confidence. If you start the game on the bench, sometimes it’s tough. But then when you’re getting thrown in in the biggest situations, you have to kind of find that confidence. I feel like I’ve been ready to go. I just haven’t been able to come through.”

Before this season, Kiner-Falefa was 2-for-7 with three walks, two hit-by-pitches and four strikeouts as a pinch-hitter. Most of those appearances came as a rookie in 2018 with the Rangers.

Kiner-Falefa has spent the early part of this season trying to re-familiarize himself with the role and the preparation that comes with it. He enters each game knowing which relievers he is likely to face if a pinch-hit spot comes into play. He also knows, depending on what the bench looks like each day, that he is often the Yankees’ top pinch-running option as well.

“Normally you start [getting ready] in the fifth inning, but now with the pitch clock, innings have been rolling and rolling and rolling,” Kiner-Falefa said. “I try to stay ready the whole game, just because you don’t have enough time with how short innings are nowadays and how fast the game goes.”

The Yankees may soon have another card to play in left field, if none of their current options get rolling or any of them gets injured.

Veteran outfielder Kole Calhoun, whom the Yankees signed to a minor league deal on April 20, has been mashing in a small sample size at Triple-A Scranton/Wilkes-Barre.

In seven games at SWB through Thursday, Calhoun was 12-for-27 with three home runs, four walks and a 1.442 OPS.

It remains to be seen how that might translate to an MLB cameo for the left-handed-hitting 35-year-old, who batted just .196 with 12 home runs and a 67 OPS-plus (100 being league average) in 125 games last season with the Rangers. But if Calhoun remains hot, the Yankees might just want to find out.

One other minor league move that caught my eye this week: catcher Carlos Narvaez was promoted from Double-A Somerset to Triple-A.

The 24-year-old impressed the Yankees’ coaching staff this spring in major league camp with his pitch framing and started the season with a .801 OPS through 16 games at Double-A.

Ben Rortvedt — the only other catcher besides the MLB tandem of Jose Trevino and Kyle Higashioka on the Yankees’ 40-man roster — just came off the injured list on Thursday. But down the road, Narvaez could become another option behind the plate should the Yankees need some help.

Of course, there’s also top catching prospect Austin Wells, who is now installed as the starter at Double-A after missing the first month of the season with a rib injury. A candidate to potentially see time in left field in the future, Wells slugged four home runs in his first eight games with Somerset.