chore(openai): Remove transaction-based tracing

[alexander-alderman-webb]

Description

Remove branches for the static trace lifecycle.
Also remove manual tracing API calls in tests, as the outer transaction is no longer needed.

Issues

Closes #7102

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

[sentrivana]

😍

[github-actions]

Codecov Results 📊

✅ 84465 passed | ⏭️ 3692 skipped | Total: 88157 | Pass Rate: 95.81% | Execution Time: 275m 4s

📊 Comparison with Base Branch

Metric	Change
Total Tests	📉 -49549
Passed Tests	📉 -46119
Failed Tests	—
Skipped Tests	📉 -3430

All tests are passing successfully.

✅ Patch coverage is 98.25%. Project has 2267 uncovered lines.
✅ Project coverage is 90.3%. Comparing base (bd34718) to head (87c9719).

Files with missing lines (1)

File	Patch %	Lines
sentry_sdk/integrations/openai.py	98.25%	⚠️ 1 Missing and 5 partials

Coverage diff

@@            Coverage Diff             @@
##        master       #PR       +/-##
==========================================
+ Coverage    90.25%    90.30%    +0.05%
==========================================
  Files          193       185        -8
  Lines        25725     23365     -2360
  Branches      9494      8568      -926
==========================================
+ Hits         23217     21098     -2119
- Misses        2508      2267      -241
- Partials      1432      1363       -69

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