fix(anthropic): Patch AsyncStream.close() and AsyncMessageStream.close() to finish spans

[alexander-alderman-webb]

Description

Close AI Client Spans when the Anthropic SDK's HTTP connection is closed and not merely when the streamed response iterator is consumed or the GC collects the private _iterator instance variable. Patch the close() method that also closes the connection.

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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Bug Fixes 🐛

Anthropic

• Patch AsyncStream.close() and AsyncMessageStream.close() to finish spans by alexander-alderman-webb in #5675

• Patch Stream.close() and MessageStream.close() to finish spans by alexander-alderman-webb in #5674

Internal Changes 🔧

• Add client report tests for span streaming by sentrivana in #5677

Other

• Update CHANGELOG.md by sentrivana in #5685

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Codecov Results 📊

✅ 1784 passed | ⏭️ 187 skipped | Total: 1971 | Pass Rate: 90.51% | Execution Time: 2m 16s

All tests are passing successfully.

❌ Patch coverage is 0.00%. Project has 12071 uncovered lines.

Files with missing lines (1)

File	Patch %	Lines
anthropic.py	5.79%	⚠️ 407 Missing

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