ci: Remove docker from requirements-testing.txt

[alexander-alderman-webb]

Description

Remove the package from requirements-testing.txt and add the package as a dependency to only the test suites that rely on the package (if applicable).

This is part of environment cleanup before moving the remaining testing dependencies to a uv dependency group.

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 📊

✅ 90246 passed | ⏭️ 6300 skipped | Total: 96546 | Pass Rate: 93.47% | Execution Time: 322m 42s

📊 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 2403 uncovered lines.
❌ Project coverage is 89.91%. Comparing base (base) to head (head).

Coverage diff

@@            Coverage Diff             @@
##          main       #PR       +/-##
==========================================
- Coverage    89.94%    89.91%    -0.03%
==========================================
  Files          192       192         —
  Lines        23809     23809         —
  Branches      8218      8218         —
==========================================
+ Hits         21412     21406        -6
- Misses        2397      2403        +6
- Partials      1339      1338        -1

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Generated by Codecov Action

[ericapisani]

LGTM