When Airbnb partnered with Warner Bros. Consumer Products in 2021 to give Carrie Bradshaw fans a chance to live in a recreation of her NYC apartment from Sex and the City, it felt like a tiny glimpse into the life of one of America’s most beloved women — even if it was a fictional one. However, later this August, Sarah Jessica Parker devotees will get the opportunity to experience the real thing. As in, SJP’s actual Hamptons home will become available to book at Booking.com soon,…