symfony/ai ? reverse-engineered prompt

Build me a Symfony AI toolkit for PHP applications, with a clean demo app I can run locally to see how everything fits together.

I want the project to let me chat with an AI, keep longer term context, build simple agents that can do tasks, and connect to a few different AI providers without locking me into one vendor. It should also include a lightweight way to store and retrieve data for AI features, plus a Symfony friendly bundle so it feels natural inside a normal app.

Please make the demo easy to explore, with a few example flows that show an agent answering questions, using stored context, and working with the app in a project aware way. If you need to look up the current docs for Symfony or any provider integrations, go ahead. Keep it polished, practical, and usable as a real starting point for a PHP app.