MINNEAPOLIS -- The ink had hardly dried on Noah Miller's first professional contract when he started to stoke the flames on the rivalry with Cleveland.

To be fair, that's a family rivalry for the Twins' Draft pick, too, seeing as his older brother, Owen Miller, debuted for the American League Central rivals earlier this year.

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How long will it be before the brothers Miller are jawing at each other across the expanse of Target Field?

"It’ll be a couple years, but trust me, it’ll be happy," Miller said. "We’ll be beating him."

The 18-year-old Miller, selected No. 36 overall in last week's MLB Draft as part of Competitive Balance Round A following the first round, completed his physical and officially signed with the Twins on Thursday for a bonus slightly under his slot value of $2,045,400, according to a source.

He'll head to Minnesota's Minor League complex in Fort Myers, Fla., on Friday morning, to join the 12 other draftees who officially signed with the organization on Wednesday. Three others also signed on Thursday: second-rounder Steven Hajjar, ninth-round pick Patrick Winkel and 18th-round selection Michael Paredes.

"It’s starting to sink in a little bit more," Miller said. "Now that I signed the contract, it’s official."

The five draftees who remain unsigned include first-round selection Chase Petty, who is expected to be at Target Field later this homestand to undergo his physical and sign as well.

"This is the beginning," Miller said. "That’s all I’ve got to say. This is the beginning of the grind. I’m ready for it. I want it to come."

Fake lineup card

With Shohei Ohtani in town for this four-game series against the Angels, there was plenty of buzz about two-way play leading into Thursday's series opener. While we're on that topic, Kenta Maeda really prides himself on his hitting ability -- and really pushes for the opportunity to show it off, too.

A version of the lineup card posted in the Twins' clubhouse before the game showed Maeda, the night's starter, also batting second in the order -- a nod to Ohtani's traditional lineup spot when he plays both ways -- and manager Rocco Baldelli encouraged Maeda to put on some batting gloves and take some practice swings.

"If he’s going to be out there swinging the bat, I think he makes some adjustments, and who knows? Maybe a camera would even catch some of that, too," Baldelli said. "I don’t know if he actually took me up on it. He had a big smile on his face and he said, ‘If we’re going to do this, I’ll be ready.’ Or something along those lines."

Maeda already had more than enough on his plate as he prepared to face Ohtani and the rest of the Angels' lineup -- especially since all eyes in Japan were certain to be on the pair of players during their matchups.

"If [I] give up a hit to Shohei, in the U.S., it’ll just be like, ‘Hey, Shohei Ohtani, it’s just another hit,’" Maeda said. "But in Japan, it’s going to be, ‘Kenta Maeda gave up a hit to Shohei Ohtani.’ I’m not a big fan of that being talked about over there in such a way."

Welcome to the Twins family

Mitch Garver was placed on the paternity list before Thursday's game for the birth of his first child, as he and his wife, Sarah, welcomed a healthy son, Gamble Lynn Garver, to the world at 1:22 p.m. CT. The Twins do not yet have a timeline on when their catcher will return to the roster.

"I’m sure I’ll connect with him within the next day or two, but me or anyone here, we’re not going to rush him," Baldelli said. "We need to make sure everything is fine on the family end."

Ben Rortvedt was recalled to take Garver's place on the 26-man roster.