Vanessa Hudgens has given birth to her first child. The ‘High School Musical’ actress, 35, had the baby with her baseball player husband Cole Tucker, 27, with news breaking of the arrival after the star was photographed cradling her newborn as she was wheeled out of a Los Angeles area hospital on Wednesday. (03.07.24) Snaps showed her leaving the facility in a blue wheelchair alongside Cole and a female nurse. The Mail said: “Vanessa looked smitten with her precious baby, who was wrapped in a white blanket with thin blue stripes and wore a soft fabric cap on its head.” Vanessa revealed in Marc…