iambuzzz/BuddyBoard ? reverse-engineered prompt

Build me a web app called BuddyBoard for task management, user pairing, and small group collaboration. I want people to be able to sign up and log in with email and password, create tasks, assign them to themselves or to a paired buddy or group, and keep track of what is open, in progress, and done. Please make it feel clean and modern, mobile friendly, and easy to use with a dashboard, task lists, and simple collaboration features like comments or updates if that fits naturally.

Use a setup that works well with a hosted database and authentication, and wire it so data is saved properly and protected with sensible access rules. If it helps, use the current docs online for any Firebase or Next.js details. Also include a place for future AI powered help since there is a Gemini key in the project setup.