tavily-ai/tavily-chat ? reverse-engineered prompt

Build me a chat app that can answer questions from its own built in knowledge, but also look things up on the live web when it needs to.

I want it to feel like a normal chatbot, with conversation memory, streaming responses as they are generated, markdown rendering, and citations for anything that comes from search results. It should be able to search, extract, and crawl pages so it can pull in fresh info instead of only guessing. If a question is simple, keep it in chat mode, and if it needs current facts, route it through web search automatically.

Please make it with a backend API and a clean web frontend, and keep it easy to customize later if I want to swap in different models or add my own data. If you need to check current docs online for any libraries or setup details, go ahead and do that.