docs: OpenAI-compatible multi-model gateway example (DaoXE)

[seven7763]

Summary

Adds a short section to the OpenAI instrumentation docs showing that logfire.instrument_openai() works with OpenAI-compatible multi-model gateways via openai.Client(base_url=...).

Example uses DaoXE (https://daoxe.com/v1).

• Docs only: docs/integrations/llms/openai.md
• No SDK/runtime changes

Notes

• Account-scoped model IDs
• Chat Completions path
• DaoXE not available in mainland China
• Contributor is affiliated with DaoXE

Test plan

• Docs page renders the new section
• Optional: run sample with real key + model ID

[coderabbitai]

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Reviewing files that changed from the base of the PR and between db9859a and 65d85d5.

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• docs/integrations/llms/openai.md

🔗 Linked repositories identified

CodeRabbit considers these linked repositories for cross-repo context during reviews:

• pydantic/logfire (manual)
• pydantic/pydantic-ai (manual)
• pydantic/platform (auto-detected)
• pydantic/pydantic (auto-detected)

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📝 Walkthrough

Walkthrough

The OpenAI integration documentation adds guidance for using instrument_openai() with OpenAI-compatible gateways. It includes a configured client example, instrumentation instructions, a chat.completions.create() call using an account-scoped model ID, and notes about model ID scoping, supported protocols, and DaoXE contributor disclosure.

🚥 Pre-merge checks | ✅ 4

✅ Passed checks (4 passed)

Check name	Status	Explanation
Title check	✅ Passed	The title clearly summarizes the main docs change: an OpenAI-compatible multi-model gateway example for DaoXE.
Description check	✅ Passed	The description matches the changeset and accurately describes the new OpenAI instrumentation docs section.
Linked Issues check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check	✅ Passed	Check skipped because no linked issues were found for this pull request.

✨ Finishing Touches

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• Create PR with unit tests

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[cubic-dev-ai]

No issues found across 1 file

Confidence score: 5/5

• Automated review surfaced no issues in the provided summaries.
• No files require special attention.

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.

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[seven7763]

Hi — this has been approved and CI is green. Just a gentle nudge in case it's waiting in the queue. Happy to address anything else if needed. Thanks!