Time to babyproof the palace again! Insiders tell In Touch that Queen Elizabeth II’s granddaughter Princess Beatrice, 32, is expecting her first child with her husband of nearly a year, Edoardo Mozzi, 37. “She and Edo have been trying to conceive for a while, and it’s thought she’s in the early stages of pregnancy,” says one palace insider. “Beatrice is obsessed with her nephew [Princess Eugenie’s son, August] and dotes on Wolfie,” Edo’s 5-year-old son with former fiancée, Dara Huang. “Beatrice can’t wait to have a child of her own, and Edo thinks she’s a total natural and will be a great mom.” Beatrice’s mother, Sarah “Fergie” Ferguson, must be thrilled by the news. Shortly before Eugenie, 31, gave birth to August in February, the Duchess of York and author…