Develop a web application that replicates the core functionality and design elements of puma.com. The application should feature a product catalog with images sourced from the web, showcasing various Puma products. Implement an AI-powered shoe fitter tool that allows users to virtually try on shoes. The tool should provide size recommendations based on user input. The application should be built with a focus on user experience, ensuring easy navigation and a visually appealing interface. The design should be responsive, adapting to different screen sizes and devices.