Adds infrastructure to automatically update embedded formulas when
the binary is upgraded, while preserving user customizations.
Changes:
- Add CheckFormulaHealth() to detect outdated/modified/missing formulas
- Add UpdateFormulas() to safely update formulas via gt doctor --fix
- Track installed formula checksums in .beads/formulas/.installed.json
- Add FormulaCheck to gt doctor with auto-fix capability
- Compute checksums at runtime from embedded files (no build-time manifest)
Update scenarios:
- Outdated (embedded changed, user unchanged): Update automatically
- Modified (user customized): Skip with warning
- Missing (user deleted): Reinstall with message
- New (never installed): Install
🤖 Generated with [Claude Code](https://claude.com/claude-code)
Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
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