Example of A2UI inline UI in simple chatbot

Example of using A2UI to show inline UI in a simple chatbot application without A2A to help developers see how A2UI can be used in the most common of existing agent UI patterns.

Look at existing chatbot examples in the repository to understand the structure. The task is to create a new example demonstrating A2UI inline UI in a simple chatbot. Start by examining the examples directory, then create a new example folder with a minimal chatbot implementation that integrates A2UI. Verify the example runs and shows the inline UI as described.

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