Olivia Munn and John Mulaney are in total bliss after welcoming baby daughter

Olivia Munn and John Mulaney are in total bliss after welcoming baby daughter

The couple’s new addition joins their 2-year-old son Malcolm.

Olivia Munn and John Mulaney couldn’t be happier as a family of four.

On Sunday, Sept. 22, the couple announced that they welcomed their second child, a daughter named Méi June, via gestational surrogate on Saturday, Sept. 14.

One day after the happy news was shared on Instagram, a source close to the couple exclusively tells PEOPLE, “They are in total bliss with Méi and Malcolm,” referring to the couple’s 2-year-old son.

“After everything they have been through there’s no tighter, closer little family,” the insider adds.

Mulaney, 42, and Munn’s new addition joins their son Malcolm who they welcomed on Nov. 24, 2021, while their announcement comes just months after they tied the knot in July in an intimate ceremony at a friend’s home in New York state.

In April, Munn, 44, had opened up to PEOPLE about her “terrifying” breast cancer diagnosis a year earlier, which resulted in four surgeries, a double mastectomy and medically induced menopause.

She said calculating her lifetime breast cancer risk score using a free online tool called a Tyrer-Cuzick risk assessment calculator “saved my life.”