Inside Channing Tatum and Zoë Kravitz's 'Cozy' Date Night Seeing Blink Twice Costar Levon Hawke's Play (Exclusive)

Channing Tatum and Zoë Kravitz got cozy seeing a new play together.

The couple attended a performance of Picture Day at Coffey Street Studio in New York City's Red Hook neighborhood of Brooklyn on Sunday, Oct. 6.

The production, which played its final weekend, is the stage directorial debut of Levon Hawke, 22, who starred alongside Tatum, 44, in the recent thriller Blink Twice, directed by Kravitz, 35.

A source tells PEOPLE that Tatum and fiancée Kravitz looked "cozy and cute together" and they spent time with Hawke and his sister Maya Hawke talking before the show. They also joined the cast and crew at a bar nearby afterward.

"Channing and Zoë held hands and looked very comfortable together and settled into their relationship," says the source.

"They were affectionate but no overboard PDA or anything. They were so cool and chill. They were blown away by how intellectual the play was."

Never miss a story — sign up for PEOPLE's free daily newsletter to stay up-to-date on the best of what PEOPLE has to offer​​, from celebrity news to compelling human interest stories.

Levon's parents, exes Uma Thurman and Ethan Hawke, have also shown up to support him by seeing Picture Day, which he also wrote and is produced by Quick & Dirty Theatre Company.

Levon previously told E! News about watching Kravitz and Tatum work together on the set of Blink Twice, calling them "deeply inspiring."

"Every second after every take, they'd meet up after and have a little head-to-head about how it was going. And they're on the same page constantly, and when they weren't it was only ever to build the story," he said.

"It felt both special just to be there working on it and also just to see people so in love working so hard together," said Levon. "I didn't really think it could be done, and I was so happy it could."

Sharing photos from the set on Instagram in August, Levon wrote, "This my first movie! Truly had some of the most amazing and moving times of my life with this incredible group of people."