ref(openai): Separate sync and async Chat Completions 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 📊

✅ 2254 passed | ⏭️ 260 skipped | Total: 2514 | Pass Rate: 89.66% | Execution Time: 6m 31s

All tests are passing successfully.

❌ Patch coverage is 0.00%. Project has 12696 uncovered lines.

Files with missing lines (1)

File	Patch %	Lines
openai.py	4.19%	⚠️ 663 Missing

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