feat(typesafe): Record gen_ai.response.model

[alexander-alderman-webb]

Description

Set the response model on the span.

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 📊

✅ 129690 passed | ⏭️ 7169 skipped | Total: 136859 | Pass Rate: 94.76% | Execution Time: 438m 59s

📊 Comparison with Base Branch

Metric	Change
Total Tests	—
Passed Tests	—
Failed Tests	—
Skipped Tests	—

✨ No test changes detected

All tests are passing successfully.

✅ Patch coverage is 81.82%. Project has 2546 uncovered lines.
✅ Project coverage is 90.25%. Comparing base (cd3866d) to head (27987f9).

Files with missing lines (1)

File	Patch %	Lines
sentry_sdk/integrations/typesafe.py	81.82%	⚠️ 2 Missing and 2 partials

Coverage diff

@@            Coverage Diff             @@
##        master       #PR       +/-##
==========================================
+ Coverage    90.25%    90.25%        —%
==========================================
  Files          195       195         —
  Lines        26092     26101        +9
  Branches      9690      9694        +4
==========================================
+ Hits         23548     23555        +7
- Misses        2544      2546        +2
- Partials      1459      1461        +2

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