Lady Gaga’s Sunday best is, well, exactly what you’d expect! The pop icon, 39, and her fiancé, Michael Polansky, stepped out for lunch at Soho House West Hollywood on Sunday, April 20, with Polansky rocking a casual ensemble, and Gaga wearing head-to-toe black — including micro shorts, knee-high socks and towering platform shoes. The “Killah” musician looked cool and comfy — not to mention a bit taller than usual — at the California lunch date, for which the longtime couple was also joined by her mom, Cynthia Germanotta. The star kept things casual yet edgy and chic, save for the real show-stopper of the look: a bold pair of ultra-high platform mary janes, which she expertly teamed with tall pair of matching socks. The singer paired her plain, black microshorts and sleek footwear with a matching graphic T-shirt, which she layered under a classic, punk-inspired leather jacket. She kept the edgy vibe going — and tied in the jacket’s shining silver hardware — with her accessories, which included a thick, chunky silver chain and black baseball cap covered in spikes. She also wore a minimal makeup look and teamed the ‘fit with a pair of oversize, futuristic sunglasses. Plus, for a final touch of black, she rocked a dark manicure. Polansky, meanwhile, looked cozy but understated for the date with his fianceé, rocking a pair of brown jeans, a baseball cap and a navy zip-up sweatshirt with rainbow stripe details. Gaga’s edgy lunch look coincides with the final day of Coachella 2025, where she headlined and, naturally, stole the style show. The “Abracadabra” singer headlined the star-studded Indio, Calif., festival both Fridays, April 11 and April 18, in full fashion force. Both weekends, her nearly two-hour performance consisted of multiple costume changes, with highlights including a dramatic white gown with large feathers protruding from behind her head and a slinky black dress teamed with a sheer lace veil. Never miss a story — sign up for PEOPLE's free daily newsletter to stay up-to-date on the best of what PEOPLE has to offer, from juicy celebrity news to compelling human interest stories. The style icon and her businessman fiancé, Polansky, first went public with their love in 2020. They were first photographed kissing at a 2020 New Year's Eve party and, a month later, went public with their relationship after spending a PDA-packed weekend together in Miami for the Super Bowl. The pop superstar confirmed her and Polansky's engagement over four years later, in July 2024. While talking to French Prime Minister Gabriel Attal at the Paris Olympics, she introduced the tech entrepreneur as her "fiancé."