According to the Source at Alec Baldwin spent time at N.Y.C.'s private club Zero Bond on Tuesday hours after Santa Fe County District Attorney Mary Carmack-Altwies formally filed charges against him

The source says that "Alec seemed chill and low-key" as he visited the exclusive spot in the NoHo neighborhood of Manhattan with his wife, Hilaria Baldwin, adding: "They didn't engage with anyone but headed straight to where everyone plays poker."

The area at the back of the private members' club is only available to poker players, the source tells PEOPLE.

"After spending around 30 to 40 minutes in the back poker area, Alec and Hilaria came back out and sat in the lounge," the source says, adding that the pair "chatted away" in the lounge. (Fox News obtained photos of Alec outside of Zero Bond on Wednesday.)

Zero Bond states on their website that they maintain a "rigorous process in regards to member selection," and only members who "display a high level of integrity" and demonstrate an ability to contribute to the private community are accepted.

Once a potential member submits a formal application and is accepted into the club, they are required to pay an initiation fee and an annual fee that varies by age.

The charges against Baldwin and Gutierrez-Reed, 25, include two counts of involuntary manslaughter. Hutchins' death came after a prop gun held by Baldwin — that contained live rounds — was discharged.