Roland Tritsch 2514507a49 Fix GT_ROOT export for beads formula search compatibility (#718) ...

Problem:
- Gas Town sets GT_TOWN_ROOT environment variable
- Beads searches for formulas using GT_ROOT environment variable
- This naming inconsistency prevents beads from finding town-level formulas
- Result: `bd mol seed --patrol` fails in rigs, causing false doctor warnings

Solution:
Export both GT_TOWN_ROOT and GT_ROOT from `gt rig detect` command:
- Modified stdout output to export both variables (lines 66, 70)
- Updated cache storage format (lines 134, 136, 138)
- Updated unset statement for both variables (line 110)
- Updated command documentation (lines 33, 37)

Both variables point to the same town root path. This maintains backward
compatibility with Gas Town (GT_TOWN_ROOT) while enabling beads formula
search (GT_ROOT).

Testing:
- `gt rig detect .` now outputs both GT_TOWN_ROOT and GT_ROOT
- `bd mol seed --patrol` works correctly when GT_ROOT is set
- Formula search paths work as expected: town/.beads/formulas/ accessible

Related:
- Complements bd mol seed --patrol implementation (beads PR #1149)
- Complements patrol formula doctor check fix (gastown PR #715)

Co-authored-by: Roland Tritsch <roland@ailtir.com>
Co-authored-by: Claude Sonnet 4.5 <noreply@anthropic.com>

2026-01-21 19:50:38 -08:00

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