achyuth098/homecart ? reverse-engineered prompt

Build me a simple shared grocery list app for roommates.

I want people in the same apartment to join with a name and invite code, then everyone can add groceries, mark them as bought, and see who added or bought each item. If someone tries to add something that is already on the list, the app should catch that instead of making a duplicate. It should update on other phones right away, and if the connection is bad in the store, the app should still let people make changes and sync them later when they are back online.

Make it work nicely on iPhone and Android from a link, and let people install it to their home screen like an app. Include a way to invite roommates, leave the apartment, and switch to a different one. Keep the design clean and easy to use on a phone, with a clear add box, current list, and recently bought section. If you need to check current setup details, look up the docs online.