docs: add logfire as new integration

[strawgate]

Summary

Adds Logfire (Pydantic's OpenTelemetry-native observability platform) as a new OpenLLMetry integration.

• openllmetry/integrations/logfire.mdx — new integration guide, following the existing minimal-guide pattern (e.g. Tencent Cloud): intro paragraph, screenshot, TRACELOOP_BASE_URL/TRACELOOP_HEADERS snippet, EU-region note, docs link.
• img/integrations/logfire.png — real screenshot of an OpenLLMetry-instrumented trace rendered in Logfire.
• mint.json / openllmetry/integrations/introduction.mdx — nav registration and integrations-catalog card, alphabetically placed.

Test plan

• Verified the OTLP endpoint, path suffix, and auth header format against Logfire's live docs.
• Verified the write-token creation link resolves.
• Confirmed frontmatter, image path convention, and file set match recently merged integrations (Laminar add laminar openllmetry integration #89, Tencent Cloud docs: add tencent apm as new integration #110/docs: add tencent cloud hyperlinks #111).

Summary by CodeRabbit

• New Integrations
  • Added Logfire to the integrations catalog and navigation.
  • Added setup guidance for sending OpenLLMetry traces to Logfire, including US and EU endpoint options and authentication configuration.

[coderabbitai]

No actionable comments were generated in the recent review. 🎉

ℹ️ Recent review info

⚙️ Run configuration

Configuration used: defaults

Review profile: CHILL

Plan: Advanced

Run ID: 6629c096-c3f5-4722-bb12-eac430688fdc

📥 Commits

Reviewing files that changed from the base of the PR and between abd8e4a and b67e6a6.

⛔ Files ignored due to path filters (1)

• img/integrations/logfire.png is excluded by !**/*.png

📒 Files selected for processing (3)

• mint.json
• openllmetry/integrations/introduction.mdx
• openllmetry/integrations/logfire.mdx

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📝 Walkthrough

Walkthrough

The PR adds a Logfire integration page. It documents OTLP endpoint and authorization settings, adds an EU endpoint note, and links the page from the integration catalog and navigation.

Changes

Logfire integration documentation

Layer / File(s)	Summary
Logfire documentation and catalog openllmetry/integrations/logfire.mdx, openllmetry/integrations/introduction.mdx, mint.json	The new page documents Logfire OTLP configuration, authorization headers, the EU endpoint, and Logfire documentation. The catalog and navigation link to the page.

Priority: ⬇️ Low

Estimated code review effort: 1 (Trivial) | ~5 minutes

Change: Feature

Merge Risk: ⚪ Minimal · up to b67e6

The Logfire documentation and links are consistent with the supplied conventions, so the change is mergeable.

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.
Title check	✅ Passed	The title clearly and concisely describes the main change: adding Logfire as a new documentation integration.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check. Docstring coverage is scoped to functions touched by this diff. Analyzed 0 functions across 0…
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

🧪 Generate unit tests (beta)

• Create a new PR

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