fix(spawn): use rig-level beads instead of mayor/rig path

The spawn command and polecat manager were incorrectly looking for beads
in <rig>/mayor/rig/.beads instead of <rig>/.beads. This caused:
- `gt spawn --issue ga-xxp` to fail with "no issue found" even when
  `bd show ga-xxp` worked from the rig directory
- Polecats couldn't find rig-level issues (with ga- prefix) because
  mayor/rig has a different beads database (with gt- prefix)

This fix:
- spawn.go: Use r.Path instead of filepath.Join(r.Path, "mayor", "rig")
- polecat/manager.go: Use r.Path for beads.New() initialization
- session/manager.go: Use r.Path/.beads for BEADS_DIR environment

Closes beads-2nh

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

internal/cmd/spawn.go

@@ -197,8 +197,8 @@ func runSpawn(cmd *cobra.Command, args []string) error {
 		}
 	}
 
-	// Beads operations use mayor/rig directory (rig-level beads)
-	beadsPath := filepath.Join(r.Path, "mayor", "rig")
+	// Beads operations use rig-level beads (at rig root, not mayor/rig)
+	beadsPath := r.Path
 
 	// Sync beads to ensure fresh state before spawn operations
 	if err := syncBeads(beadsPath, true); err != nil {

internal/polecat/manager.go

@@ -30,8 +30,8 @@ type Manager struct {
 
 // NewManager creates a new polecat manager.
 func NewManager(r *rig.Rig, g *git.Git) *Manager {
-	// Use the mayor's rig directory for beads operations (rig-level beads)
-	mayorRigPath := filepath.Join(r.Path, "mayor", "rig")
+	// Use the rig root for beads operations (rig-level beads at .beads/)
+	rigPath := r.Path
 
 	// Try to load rig config for namepool settings
 	rigConfigPath := filepath.Join(r.Path, ".gastown", "config.json")
@@ -56,7 +56,7 @@ func NewManager(r *rig.Rig, g *git.Git) *Manager {
 	return &Manager{
 		rig:      r,
 		git:      g,
-		beads:    beads.New(mayorRigPath),
+		beads:    beads.New(rigPath),
 		namePool: pool,
 	}
 }

internal/session/manager.go

@@ -125,9 +125,9 @@ func (m *Manager) Start(polecat string, opts StartOptions) error {
 	_ = m.tmux.SetEnvironment(sessionID, "GT_POLECAT", polecat)
 
 	// CRITICAL: Set beads environment for worktree polecats
-	// Polecats share the rig's beads directory (in mayor/rig/.beads)
+	// Polecats share the rig's beads directory (at rig root, not mayor/rig)
 	// BEADS_NO_DAEMON=1 prevents daemon from committing to wrong branch
-	beadsDir := filepath.Join(m.rig.Path, "mayor", "rig", ".beads")
+	beadsDir := filepath.Join(m.rig.Path, ".beads")
 	_ = m.tmux.SetEnvironment(sessionID, "BEADS_DIR", beadsDir)
 	_ = m.tmux.SetEnvironment(sessionID, "BEADS_NO_DAEMON", "1")
 	_ = m.tmux.SetEnvironment(sessionID, "BEADS_AGENT_NAME", fmt.Sprintf("%s/%s", m.rig.Name, polecat))