Harper Beckham plans to break the US with her new beauty brand as she files to be granted sole rights to use the company name across the Atlantic. The teenage daughter of David and Victoria Beckham, 15, is preparing to blow up the beauty market next year with her own skincare business. Harper has called her new line Harlo by Harper and has huge plans for the brand which will be aimed at Gen Z and Gen Alpha. Harper's team has lodged papers with the US Patent and Trademark Office asking to be granted sole rights to use the name in the States, reports The Sun. Her representatives have also filed documents with the UK's Intellectual Property…