test(litellm): Replace mocks with httpx types in nonstreaming tests

[alexander-alderman-webb]

Description

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

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Semver Impact of This PR

🟢 Patch (bug fixes)

📋 Changelog Preview

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Entries from this PR are highlighted with a left border (blockquote style).

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New Features ✨

• (integrations) Instrument pyreqwest tracing by servusdei2018 in #5682

Bug Fixes 🐛

• (litellm) Avoid double span exits when streaming by alexander-alderman-webb in #5933

Internal Changes 🔧

• (litellm) Replace mocks with httpx types in nonstreaming tests by alexander-alderman-webb in #5937

• (opentelemetry) Ignore mypy error by alexander-alderman-webb in #5927

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_{🤖 This preview updates automatically when you update the PR.}

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Codecov Results 📊

✅ 13 passed | Total: 13 | Pass Rate: 100% | Execution Time: 8.47s

📊 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 14771 uncovered lines.
✅ Project coverage is 29.96%. Comparing base (base) to head (head).

Coverage diff

@@            Coverage Diff             @@
##          main       #PR       +/-##
==========================================
+ Coverage    25.16%    29.96%     +4.8%
==========================================
  Files          190       190         —
  Lines        21088     21090        +2
  Branches      6884      6886        +2
==========================================
+ Hits          5306      6319     +1013
- Misses       15782     14771     -1011
- Partials       432       477       +45

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