feat(examples): add Claude loop topology examples

[urd00m]

Summary

• Add minimal examples for independent persistent Claude nodes.
• Demonstrate persistent callers with stateless and persistent callees.
• Document session behavior and runtime requirements.

Related PRs / Issues: None

Type of change:

• Bug fix
• New feature
• Other enhancement

Impact:

• Core Chia change (Changes to Profiling, Caching, ChiaFunction source code, etc)
• New Chia Tool/Docker Container
• Build system change
• Other — examples only

Validation

• Parsed all three Python examples with ast.parse.
• Live cluster execution was not run because it requires a running Ray cluster and Claude credentials.

AI assistance disclosure

The examples and PR text were created with assistance from OpenAI Codex. Human maintainer review is required before merging.

Contributor Checklist:

• Did you set main as the base branch?
• Is this PR title suitable for inclusion in the changelog and have you added a changelog:<topic> label?
• Did you state the type-of-change/impact?
• Did you delete any extraneous prints/debugging code?
• Did you mark the PR with a changelog: label?
• (If applicable) Did you add documentation for the feature?
• (If applicable) Did you add a test demonstrating the PR?