Updates three things:
1. Context Studio Core — git pull on ~/.context-studio/core
2. Claude Code — npm install -g @anthropic-ai/claude-code in container
3. OS packages — apt-get update + upgrade in container
If container is not running, in-container steps are skipped with a warning.
Offers optional full image rebuild (--pull --no-cache) for a clean slate.
Warns that in-container updates are ephemeral without a rebuild.
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>