Update Chat Interface examples and add more LLM libraries and API providers

[abidlabs]

Closes: #10003

[gradio-pr-bot]

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Install Gradio from this PR

pip install https://gradio-pypi-previews.s3.amazonaws.com/42dda5e9e35fc8880980d5dce787f87f2aa02c35/gradio-5.6.0-py3-none-any.whl

Install Gradio Python Client from this PR

pip install "gradio-client @ git+https://github.com/gradio-app/gradio@42dda5e9e35fc8880980d5dce787f87f2aa02c35#subdirectory=client/python"

Install Gradio JS Client from this PR

npm install https://gradio-npm-previews.s3.amazonaws.com/42dda5e9e35fc8880980d5dce787f87f2aa02c35/gradio-client-1.8.0.tgz

Use Lite from this PR

<script type="module" src="https://gradio-lite-previews.s3.amazonaws.com/42dda5e9e35fc8880980d5dce787f87f2aa02c35/dist/lite.js""></script>

[gradio-pr-bot]

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