feat(openai): Set gen_ai.tool.definitions attribute for the Completions API

[alexander-alderman-webb]

Description

Set the attribute according to the schema defined in

https://github.com/getsentry/rfcs/blob/main/text/0153-decoupling-sentrys-generative-ai-conventions-from-open-telemetry.md

Issues

Reminders

• Please add tests to validate your changes, and lint your code using uv run ruff.
• Add GH Issue ID & Linear ID (if applicable)
• PR title should use conventional commit style (feat:, fix:, ref:, meta:)
• For external contributors: CONTRIBUTING.md, Sentry SDK development docs, Discord community

[github-actions]

Codecov Results 📊

✅ 99103 passed | ⏭️ 6733 skipped | Total: 105836 | Pass Rate: 93.64% | Execution Time: 347m 9s

📊 Comparison with Base Branch

Metric	Change
Total Tests	📈 +180
Passed Tests	📈 +225
Failed Tests	📉 -1
Skipped Tests	📉 -44

All tests are passing successfully.

✅ Patch coverage is 87.88%. Project has 2503 uncovered lines.
❌ Project coverage is 89.86%. Comparing base (base) to head (head).

Files with missing lines (1)

File	Patch %	Lines
sentry_sdk/ai/_openai_completions_api.py	86.21%	⚠️ 4 Missing and 9 partials

Coverage diff

@@            Coverage Diff             @@
##          main       #PR       +/-##
==========================================
- Coverage    89.87%    89.86%    -0.01%
==========================================
  Files          193       193         —
  Lines        24656     24686       +30
  Branches      8786      8808       +22
==========================================
+ Hits         22158     22183       +25
- Misses        2498      2503        +5
- Partials      1400      1411       +11

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