Okay, let's dive into Gradio's capability to create a "website widget" or, more accurately, how to use Gradio's backend API with a custom JavaScript front-end, potentially embedded in any website. This is primarily achieved using the @gradio/client JavaScript library. How it Works (APIs): Gradio Backend Server: When you run demo.launch() in your app.py, Gradio starts a web server (usually based on FastAPI). This server does two things: Serves the standard Gradio web UI you've been using. Exposes API endpoints that allow programmatic interaction with your Gradio app's functions. API Endpoint: For a function like your chat function, Gradio typically creates an endpoint (often under /run/predict or similar, though the client library handles the exact path). This endpoint accepts HTTP requests (usually POST) containing the input data (like message, history, hotel_id). @gradio/client (JavaScript): This is a library you use in your custom front-end code (HTML/JavaScript running in the user's browser or on your web server). You initialize the client, pointing it to the URL where your Gradio app (app.py) is running (e.g., your Hugging Face Space URL or http://127.0.0.1:7860 if running locally). Your JavaScript code gathers user input (from your custom HTML input fields). You use the @gradio/client's functions (like predict) to send the input data to the Gradio backend's API endpoint. The client library handles making the HTTP request to the Gradio server. Backend Processing: The Gradio server receives the API request, extracts the data, and calls your Python chat function with the provided arguments. Your Python code runs, loads documents, prepares prompts, calls the LLM, and gets a response. API Response: The Gradio server packages the return value(s) from your chat function (the updated ui_history and the empty string) into an HTTP response and sends it back to the @gradio/client. Frontend Update: Your JavaScript code receives the response via the client library and uses it to update your custom HTML UI (e.g., display the new assistant message in your custom chat display). Key Point: You are not replacing the Gradio backend (app.py). You are replacing the Gradio frontend UI with your own custom HTML, CSS, and JavaScript, which then communicates with the existing Gradio backend API using the @gradio/client library. Gains vs. Losses: What You Gain: Complete UI Control: You have 100% control over the appearance, layout, and behavior of the chat interface. You can match your website's branding perfectly. Seamless Integration: Embed the chat functionality directly within any existing webpage or web application without using an