fix(tests): Fix flake in continuous profiler tests

[pabloDeputter]

Description

• Issue: Profiler auto-starts/stops using fixed time.sleep(0.2) before asserting that the profiler indeed has stopped. With the 21Hz frequency, each interval is ~47.6ms. Auto-shutdown requires multiple cycles to complete soft shutdown. Under heavy load, this could take longer resulting in the assertion being run first and failing.
• Added a temporary workflow running both tests 5 times across Python 3.6–3.14. Removed in final commit.

Issues

Resolves: #6957 & PY-2638

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 📊

✅ 99634 passed | ⏭️ 6757 skipped | Total: 106391 | Pass Rate: 93.65% | Execution Time: 355m 24s

📊 Comparison with Base Branch

Metric	Change
Total Tests	—
Passed Tests	📈 +2
Failed Tests	📉 -2
Skipped Tests	—

➖ Removed Tests (2)

View removed tests

• test_continuous_profiler_auto_start_and_stop_sampled[non-experiment-gevent]
  • File: tests.profiler.test_continuous_profiler
• test_continuous_profiler_auto_start_and_stop_sampled_span_streaming[experiment-thread]
  • File: tests.profiler.test_continuous_profiler

All tests are passing successfully.

✅ Patch coverage is 100.00%. Project has 2503 uncovered lines.
✅ Project coverage is 89.89%. Comparing base (base) to head (head).

Coverage diff

@@            Coverage Diff             @@
##          main       #PR       +/-##
==========================================
+ Coverage    89.88%    89.89%    +0.01%
==========================================
  Files          193       193         —
  Lines        24747     24747         —
  Branches      8858      8858         —
==========================================
+ Hits         22242     22244        +2
- Misses        2505      2503        -2
- Partials      1416      1414        -2

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