docs(examples): convert to per-integration uv projects using auto_instrument

[starfolkai]

Summary

• New examples/ directory at the repo root — each integration gets a self-contained uv project with its own pyproject.toml (pointing braintrust at the local py/ checkout), README.md, and example script(s). Lockfiles are gitignored so each clone resolves fresh against current PyPI.
• Every provider example uses braintrust.auto_instrument() + init_logger() as the canonical setup, instead of integration-specific setup_*() / wrap_*() helpers.
• Add 13 missing examples: agentscope, autogen, claude_agent_sdk, cohere, crewai, google_genai, langchain, litellm, llamaindex, mistral, openai_agents, openrouter, strands.

What changed

• Layout: examples live at examples/ (repo root), not py/examples/. The repo-root README points at them.
• Existing top-level scripts moved into their own dirs (history preserved): openai_example.py → openai/, anthropic_*.py → anthropic/, pydantic_ai_example.py → pydantic_ai/.
• temporal/: requirements.txt → pyproject.toml; Procfile and mise.toml updated to use uv sync / uv run.
• langsmith/: drop committed uv.lock for consistency with the new per-example convention.
• adk/: drop manual_patching.py since auto_instrument() covers the same case; rename auto.py → example.py.
• Drop the dedicated auto_instrument/ showcase since every provider example now demonstrates it by default.
• examples/README.md explains the layout, the canonical 2-line pattern, and lists every example.

CI lint coverage

• Extend the pylint nox session in py/noxfile.py to also enumerate ../examples/**/*.py and lint them in the same invocation. Reuses the existing matrix (Python 3.10–3.14), reuses the existing lint dependency-group, keeps it as one CI job — no new workflow surface area.
• Add claude-agent-sdk and strands-agents to the lint dependency-group so pylint can resolve the new examples' imports.
• Skip examples/crewai/ on Python 3.14 to mirror the existing conditional crewai pin (its transitive pydantic-core has no 3.14 wheel yet).

Modernized model names

Replaced stale model identifiers in examples with current ones, matching what the SDK's own integration tests use:

Example	Before	After
anthropic/sync.py + anthropic/async_example.py	claude-3-haiku-20240307 / claude-3-5-sonnet-latest	claude-haiku-4-5
openai/example.py + pydantic_ai/example.py	gpt-4o	gpt-4o-mini
otel/basic_otel_example.py + otel/filtered_otel_example.py	gpt-3.5-turbo	gpt-4o-mini

Already-current models (gemini-2.0-flash, command-r-plus-08-2024, mistral-small-latest, claude-haiku-4-5-20251001, gpt-4o-mini) left alone.

Why no committed lockfiles

Examples are meant to demonstrate the current SDK against current providers, not snapshot a moment in time. Committing ~24 uv.lock files would create constant churn on every transitive bump and would actively work against the demo goal. pyproject.toml already constrains requires-python and direct deps. (See examples/README.md for the rationale.)

Test plan

• uv sync succeeds in every example dir
• braintrust.auto_instrument() returns instrumented: True for the relevant integration in each example's venv (19/19 verified)
• Imports succeed in every example with the correct symbols
• nox -s pylint runs locally on Python 3.14 and lints all SDK source plus all moved examples in one pass (with crewai correctly skipped)
• Reviewer manually runs one or two examples end-to-end with real API keys

🤖 Generated with Claude Code