EPIC: Robinhoot MVP

### Objective
Create a minimal viable product

### Context
We should have a MVP with the basic core features to share with the professors and test the product, the basic features can be:

1. The Creator: Build a clean editor for Quiz and True/False questions with image support.
2. The Host View: A screen to start the game and show questions with a timer.
3. The Player View: A join screen (enter PIN + nickname) and a screen with just 4 colored answer buttons.
4. Real-time Engine: Use WebSockets (e.g., [Socket.io](https://socket.io/)) to handle the live PIN room, synchronize timers, and broadcast answers.
5. Basic Results: Show a final ranking board and a simple chart of which questions were hardest.

Start by mapping the existing TypeScript project and splitting this MVP into separate, scoped issues for the creator, host, player, real-time engine, and results views. Review the linked Socket.io reference before defining the integration boundary. Done means the listed core features work together in a demonstrable MVP, including synchronized rooms, timers, answers, and final results.

Written by the indexing model from the issue text.