When my 6-year-old insists on wearing superhero capes everywhere, even to school

Lately, my 6-year-old has developed a deep attachment to superhero capes and wants to wear one everywhere - breakfast, grocery runs, and even school. At home, it’s kinda adorable and fun, but the school has a no costume policy, and the teachers have asked us to keep it at home during school hours. I’ve tried explaining this gently, but it leads to tears and frustration every morning. We even offered to pack the cape in the backpack for after-school play, but the idea of leaving it behind is heartbreaking to my kid. It’s tough because I want to honor their love for imaginative play, but I also want to respect the school’s rules and make mornings less stressful. I’m wondering if anyone else has navigated this kind of attachment to a specific item that’s part of their child’s identity? How do you balance supporting their expression without causing big daily battles? Also, would it help to create a special 'cape time' ritual after school, or am I underestimating how much this means to them during the day? Looking forward to ideas!