fix(anthropic): Capture exceptions for stream() calls

[alexander-alderman-webb]

Description

Wrap the library function in a try-except and capture the exception if one is raised.

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

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Semver Impact of This PR

🟢 Patch (bug fixes)

📋 Changelog Preview

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New Features ✨

• (integrations) Instrument pyreqwest tracing by servusdei2018 in #5682

Bug Fixes 🐛

Anthropic

• Set exceptions on spans for stream() calls by alexander-alderman-webb in #5950

• Stop setting transaction to errored when child span fails by alexander-alderman-webb in #5717
• Only finish relevant spans in .create() patches by alexander-alderman-webb in #5716

Internal Changes 🔧

• (anthropic) Separate sync and async .create() patches by alexander-alderman-webb in #5715
• (openai) Split token counting by API for easier deprecation by ericapisani in #5930
• (opentelemetry) Ignore mypy error by alexander-alderman-webb in #5927
• Fix license metadata in setup.py by sl0thentr0py in #5934
• Update validate-pr workflow by stephanie-anderson in #5931

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Codecov Results 📊

✅ 10 passed | Total: 10 | Pass Rate: 100% | Execution Time: 2.54s

All tests are passing successfully.

❌ Patch coverage is 0.00%. Project has 14837 uncovered lines.

Files with missing lines (1)

File	Patch %	Lines
anthropic.py	5.43%	⚠️ 418 Missing

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