Adds examples to chat completion inference API

[szabosteve]

Overview

Closes #4343
Related to #4294

This PR adds working examples to the chat_completion inference API docs. It also provides some bits of info missing from the chat_completion API docs.

[github-actions]

Following you can find the validation results for the APIs you have changed.

API	Status	Request	Response
inference.chat_completion_unified	⚪	Missing test	Missing test
inference.completion	⚪	Missing test	Missing test
inference.delete	⚪	Missing test	Missing test
inference.get	🟢	1/1	1/1
inference.inference	⚪	Missing test	Missing test
inference.put_alibabacloud	⚪	Missing test	Missing test
inference.put_amazonbedrock	⚪	Missing test	Missing test
inference.put_anthropic	⚪	Missing test	Missing test
inference.put_azureaistudio	⚪	Missing test	Missing test
inference.put_azureopenai	⚪	Missing test	Missing test
inference.put_cohere	⚪	Missing test	Missing test
inference.put_elasticsearch	⚪	Missing test	Missing test
inference.put_elser	⚪	Missing test	Missing test
inference.put_googleaistudio	⚪	Missing test	Missing test
inference.put_googlevertexai	⚪	Missing test	Missing test
inference.put_hugging_face	⚪	Missing test	Missing test
inference.put_jinaai	⚪	Missing test	Missing test
inference.put_mistral	⚪	Missing test	Missing test
inference.put_openai	⚪	Missing test	Missing test
inference.put_voyageai	⚪	Missing test	Missing test
inference.put_watsonx	⚪	Missing test	Missing test
inference.put	⚪	Missing test	Missing test
inference.rerank	⚪	Missing test	Missing test
inference.sparse_embedding	⚪	Missing test	Missing test
inference.stream_completion	⚪	Missing test	Missing test
inference.text_embedding	⚪	Missing test	Missing test
inference.update	⚪	Missing test	Missing test

You can validate these APIs yourself by using the make validate target.

[github-actions]

Following you can find the validation results for the APIs you have changed.

API	Status	Request	Response
inference.chat_completion_unified	⚪	Missing test	Missing test
inference.completion	⚪	Missing test	Missing test
inference.delete	⚪	Missing test	Missing test
inference.get	🟢	1/1	1/1
inference.inference	⚪	Missing test	Missing test
inference.put_alibabacloud	⚪	Missing test	Missing test
inference.put_amazonbedrock	⚪	Missing test	Missing test
inference.put_anthropic	⚪	Missing test	Missing test
inference.put_azureaistudio	⚪	Missing test	Missing test
inference.put_azureopenai	⚪	Missing test	Missing test
inference.put_cohere	⚪	Missing test	Missing test
inference.put_elasticsearch	⚪	Missing test	Missing test
inference.put_elser	⚪	Missing test	Missing test
inference.put_googleaistudio	⚪	Missing test	Missing test
inference.put_googlevertexai	⚪	Missing test	Missing test
inference.put_hugging_face	⚪	Missing test	Missing test
inference.put_jinaai	⚪	Missing test	Missing test
inference.put_mistral	⚪	Missing test	Missing test
inference.put_openai	⚪	Missing test	Missing test
inference.put_voyageai	⚪	Missing test	Missing test
inference.put_watsonx	⚪	Missing test	Missing test
inference.put	⚪	Missing test	Missing test
inference.rerank	⚪	Missing test	Missing test
inference.sparse_embedding	⚪	Missing test	Missing test
inference.stream_completion	⚪	Missing test	Missing test
inference.text_embedding	⚪	Missing test	Missing test
inference.update	⚪	Missing test	Missing test

You can validate these APIs yourself by using the make validate target.