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Arabella is ready for her closeup!

On Tuesday, brand-new mom Ivanka Trump left an NYC hospital with some very precious cargo: daughter Arabella Rose, who was born on Sunday.

It's the first child for the jewelry designer, 29, and her publisher hubby Jared Kushner, who wed in 2009.

Her famous mogul dad Donald Trump announced his granddaughter's cute name during a Monday appearance on Fox and Friends.

PHOTOS: See more pictures of Ivanka and Arabella from PopSugar

"I just left the hospital and the baby is beautiful. Ivanka's doing great," Donald, 65, said. "Arabella, a very exotic name. Arabella Rose is the baby's name -- I just found that out by the way."