Setup Docker builds and optimize Dockerfile layers

[gigareggie]

This PR adds Docker support for the GUI application with containerization and automated image publishing.

Changes

Docker

• Add production multi-stage apps/gui/Dockerfile
• Optimize dependency and build stages
• Build shared workspace packages before the GUI
• Configure production runtime image
• Expose port 3000

Docker Compose

• Add docker-compose.yml for local deployment
• Configure:
  • 3000:3000 port mapping
  • GOOGLE_API_KEY environment variable
• Persistent data volume

CI/CD

• Add GitHub Actions workflow to:
  • Build images on master pushes and pull requests
  • Publish images to GHCR on non-PR builds
• Generate tags from branches, releases, and commit SHA
• Use GitHub Actions cache for faster builds

[sortedcord]

Hi, thanks for the PR. The docker build seems to be written pretty well! I'll merge this soon.