Katy Perry and Orlando Bloom recently purchased a $14 million mansion in Montecito, Calif., not far from where Meghan Markle lives with husband Prince Harry and their 18-month-old son, Archie. But while having the royals for neighbors certainly sounds like a perk, the former actress, 38, seemingly won’t be lending the pop star, 36, a cup of sugar anytime soon. “Meghan has no interest in getting to know Katy whatsoever,” a source tells Life & Style. The trouble began in 2018 when the “California Gurls” singer gave an interview to Entertainment Tonight, criticizing the Suits star’s wedding dress. “I would have done one more fitting,” Katy said of the Givenchy gown, adding that she liked Kate Middleton’s Alexander McQueen wedding dress better. Things only got worse when later that month…