Widle-Studio/Grocery-App ? reverse-engineered prompt

Build me a grocery shopping app in Flutter that works on both mobile and web, and make it look close to a polished grocery store design. I want the app to have a clean home screen, product browsing, product detail pages, and a simple app navigation screen so I can jump between the main views easily.

Please use a modern Material style and keep the UI friendly and easy to use. The app should handle network checks, remember simple user data locally, and load product images smoothly with caching. If you need current package or Flutter guidance, feel free to look it up online.

I’d also like the code organized cleanly, with reusable widgets, routes, theme styling, and a structure that would be easy to extend later. Make sure it runs well on Flutter 3 and uses a sensible state management approach.