Fixes #188, Fixes #189, Fixes #190, Fixes #191, Fixes #192: Consolidate example PRs into single branch

[davideast]

This PR resolves batch conflicts for PRs #193, #194, #195, #196, #197, #198, #200, #201, #202, #203, #204, #205, #206, #207, #208, and #209.

It correctly implements all requested examples and incorporates documentation and workspace changes into a single conflict-free branch.

Changes:

• Adds basic-session example
• Adds advanced-session example
• Adds agent example
• Adds webhook example
• Adds github-actions example
• Updates root package.json workspaces to include packages/core/examples/*
• Rebuilds bun.lock for proper dependency resolution
• Updates packages/core/README.md to index all examples

Fixes #188
Fixes #189
Fixes #190
Fixes #191
Fixes #192

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PR created automatically by Jules for task 15650027681078213536 started by @davideast

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