09/04/2013 08:32 am ET

Alec And Hilaria Baldwin Introduce Daughter Carmen Gabriela


She may not know it yet, but Carmen Gabriela gave her father Alec Baldwin a special gift upon her Aug. 23 arrival: another shot at fatherhood.

“It’s a second chance for me in a way,” the actor, 55, tells PEOPLE exclusively in its new issue. “Everybody knows I had a pretty unpleasant custody battle for Ireland.”

Read more on celebritybabies.people.com