fix: render Claude live status from raw stream events

[LIU9293]

Summary

• persist Claude sessions as raw provider stream records and project live status directly from raw events
• improve Claude status rendering with full current response text, frequency-based latest action display, and richer tool details (including Task description)
• optimize session events endpoint fetch behavior for large sessions and bump version to 0.0.37

Validation

• bun test packages/agents/test/claude-stream-status.test.ts packages/agents/test/session-inspector.test.ts
• bun run typecheck