test(starlette): Verify request info captured with POST endpoints

[alexander-alderman-webb]

Description

Replace tests that directly call StarletteRequestExtractor with tests that assert that request info is captured on errors and transaction events when appropriate POST endpoints are called.

Issues

Reminders

• Please add tests to validate your changes, and lint your code using tox -e linters.
• 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 📊

✅ 282 passed | Total: 282 | Pass Rate: 100% | Execution Time: 41.56s

📊 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 100.00%. Project has 14775 uncovered lines.
✅ Project coverage is 33.63%. Comparing base (base) to head (head).

Coverage diff

@@            Coverage Diff             @@
##          main       #PR       +/-##
==========================================
+ Coverage    33.63%    33.63%        —%
==========================================
  Files          190       190         —
  Lines        22260     22260         —
  Branches      7536      7536         —
==========================================
+ Hits          7485      7485         —
- Misses       14775     14775         —
- Partials       747       747         —

---

Generated by Codecov Action

[cursor]

Cursor Bugbot has reviewed your changes and found 2 potential issues.

^{❌ Bugbot Autofix is OFF. To automatically fix reported issues with cloud agents, enable autofix in the Cursor dashboard.}

^{Reviewed by Cursor Bugbot for commit d91d454. Configure here.}

[sentrivana]

Looking great! So much better than unit testing the internal request extractor