Should Move project to 160 of 160 points - uses simple_chat as project example.

[hunterino]

Description

PR for issues 628

Pre-launch Checklist

• I read the [Flutter Style Guide] recently, and have followed its advice.
• I signed the [CLA].
• I read the [Contributors Guide].
• I have added sample code updates to the [changelog].
• I updated/added relevant documentation (doc comments with ///).

[google-cla]

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[gemini-code-assist]

Code Review

This pull request significantly improves the project's structure and documentation. Moving the simple_chat example to the standard example/ directory is a great change that follows Dart conventions. The added documentation in the core genui classes and the new examples/examples.md overview are also valuable additions.

One suggestion is to rename example/example.md to example/README.md to follow standard project structure and improve discoverability on platforms like GitHub.

I've added one specific comment on the newly added examples.md file.