"design a captivating logo for ay productions, a dynamic and family-run business in the performing arts industry. the logo should reflect the diverse aspects of the company, including its involvement in the performing arts, an etsy shop with printables and handcrafted items, a youtube channel reviewing video games, and the integration of ai in creative businesses. incorporate elements such as dancers, actors, musical instruments, craft tools, gaming controllers, and ai symbols in a playful and colorful design. consider adding a touch of warmth and togetherness to represent the family-focused nature of the business. create a versatile logo that can be easily adapted for various platforms and applications. let your creativity shine and bring ay productions' unique identity to life!"