Bump azure-identity in /tools/sdk-ai-bots/Embeddings (#8426)

Bumps [azure-identity](https://github.com/Azure/azure-sdk-for-python) from 1.13.0 to 1.16.1.
- [Release notes](https://github.com/Azure/azure-sdk-for-python/releases)
- [Changelog](https://github.com/Azure/azure-sdk-for-python/blob/main/doc/esrp_release.md)
- [Commits](https://github.com/Azure/azure-sdk-for-python/compare/azure-identity_1.13.0...azure-identity_1.16.1)

---
updated-dependencies:
- dependency-name: azure-identity
  dependency-type: direct:production
...

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tools/sdk-ai-bots/Embeddings/requirements.txt

@@ -1,4 +1,4 @@
-azure-identity==1.13.0
+azure-identity==1.16.1
 azure-search-documents==11.6.0b2
 langchain==0.1.8
 openai==0.27.8