Diva by night, dirtbag by day. Mariah Carey ditched her diamonds for distressed denim on a New York City outing Thursday, smiling for photographers as she left the Peninsula hotel’s rooftop bar. The “Honey” hitmaker, 57, styled Acne Studios’ $850 baggy jeans — “finished with hand-applied paint and stain marks for an authentic dirty effect” — with the Swedish brand’s layered mesh tee ($580), its front scrawled with Sharpie-like doodles. The accessories were more familiar territory for the queen of glam: Gucci oval-frame sunglasses ($430) and Hermès platform slip-on sandals ($1,000). Waist-length honey-colored curls, glossy lips and a…
