Alec Baldwin’s wife, Hilaria, gave birth to a baby girl last night. The yoga instructor, 29, delivered the child at Mount Sinai Hospital on the Upper East Side. A happy-looking Baldwin, star of “30 Rock” and “Blue Jasmine,” was spotted arriving at Mount Sinai yesterday carrying several bags. Hilaria and Alec previously revealed that they were expecting a girl, with the Spanish-born health buff recently showing off their incoming bundle of joy’s pastel-pink nursery to “Extra.” The proud mom tweeted, “We are overjoyed to announce the birth of our daughter Carmen Gabriela. She is absolutely perfect.” It’s Hilaria’s first child with Baldwin, whose daughter Ireland, 17, also took to Twitter to announce, “I’m a f–king sister!”