- Extend core types with GitHub issue tracking fields (issueNumber, issueStatus, lastIssueSync)
- Add TaskStore.getTaskGitHubIssueInfo() to fetch issue details from GitHub API
- Create server-side API endpoint for issue status lookup with caching
- Build GitHubBadge component with color-coded status indicators (open/closed)
- Integrate badges into TaskCard with hover state linking to GitHub issues
- Add CSS styles for badge positioning and visual polish
- Include comprehensive tests for GitHubBadge and TaskCard badge rendering
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