[Doc] Unify structured outputs examples

[aarnphm]

This PR unify the three files for structured_outputs examples onto one, openai_chat_completion_structured_outputs.py:

• Now we will run with all supported features (regex, choice, structural_tags, json, grammar)
• enable for reasoning trace with --reasoning
• enable streaming outputs with --stream

Signed-off-by: Aaron Pham [email protected]

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[hmellor]

I'm a fan of the consolidation!

While we're revamping this example, what do you think about the idea of adding a README for the example too? Then we would have a really nice (and easily extendable) example, similar to https://docs.vllm.ai/en/latest/getting_started/examples/prometheus_grafana.html

The folder structure would look something like this:

- examples
  - online_serving
    - structured_output
      - README.md
      - structured_output.py

(calling the .md file README means it'll get rendered on GitHub as well as in the docs!)

[mergify]

This pull request has merge conflicts that must be resolved before it can be
merged. Please rebase the PR, @aarnphm.

https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/working-with-forks/syncing-a-fork

[mergify]

This pull request has merge conflicts that must be resolved before it can be
merged. Please rebase the PR, @aarnphm.

https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/working-with-forks/syncing-a-fork

[mergify]

This pull request has merge conflicts that must be resolved before it can be
merged. Please rebase the PR, @aarnphm.

https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/working-with-forks/syncing-a-fork

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