ref(openai): Separate sync and async embeddings patches

[alexander-alderman-webb]

Description

Remove generator pattern to allow capturing exception info on AI Client Spans in upcoming PRs.

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

[github-actions]

Codecov Results 📊

✅ 6 passed | Total: 6 | Pass Rate: 100% | Execution Time: 2.41s

📊 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 0.00%. Project has 16976 uncovered lines.
❌ Project coverage is 21.91%. Comparing base (base) to head (head).

Files with missing lines (1)

File	Patch %	Lines
openai.py	4.30%	⚠️ 645 Missing

Coverage diff

@@            Coverage Diff             @@
##          main       #PR       +/-##
==========================================
- Coverage    22.13%    21.91%    -0.22%
==========================================
  Files          190       190         —
  Lines        21758     21739       -19
  Branches      7288      7296        +8
==========================================
+ Hits          4814      4763       -51
- Misses       16944     16976       +32
- Partials       386       382        -4

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