test: Restore functions_to_trace state to avoid flakes

[alexander-alderman-webb]

Description

Prevent flakes due to

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 📊

✅ 91200 passed | ⏭️ 6302 skipped | Total: 97502 | Pass Rate: 93.54% | Execution Time: 307m 4s

📊 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 2436 uncovered lines.
✅ Project coverage is 89.81%. Comparing base (base) to head (head).

Coverage diff

@@            Coverage Diff             @@
##          main       #PR       +/-##
==========================================
+ Coverage    89.78%    89.81%    +0.03%
==========================================
  Files          193       193         —
  Lines        23898     23898         —
  Branches      8258      8258         —
==========================================
+ Hits         21454     21462        +8
- Misses        2444      2436        -8
- Partials      1353      1352        -1

---

Generated by Codecov Action