feat: integrate Pi backend and Pi Web

pi/packages/coding-agent/examples/README.md

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+# Examples
+
+Example code for pi-coding-agent SDK and extensions.
+
+## Directories
+
+### [sdk/](sdk/)
+Programmatic usage via `createAgentSession()`. Shows how to customize models, prompts, tools, extensions, and session management.
+
+### [extensions/](extensions/)
+Example extensions demonstrating:
+- Lifecycle event handlers (tool interception, safety gates, context modifications)
+- Custom tools (todo lists, questions, subagents, output truncation)
+- Commands and keyboard shortcuts
+- Custom UI (footers, headers, editors, overlays)
+- Git integration (checkpoints, auto-commit)
+- System prompt modifications and custom compaction
+- External integrations (SSH, file watchers, system theme sync)
+- Custom providers (Anthropic with custom streaming, GitLab Duo)
+
+## Documentation
+
+- [SDK Reference](sdk/README.md)
+- [Extensions Documentation](../docs/extensions.md)
+- [Skills Documentation](../docs/skills.md)