fix(beads): Auto-create .beads/redirect for crew and polecats

Fixes gt-b6qm: redirect files can get deleted by git clean, causing
"no beads database found" errors.

Changes:
- crew.Manager.Add() now creates .beads/redirect during setup
- gt prime regenerates missing redirects silently on startup

The redirect points to the shared beads database at either:
- rig/mayor/rig/.beads/ (preferred)
- rig/.beads/ (fallback)

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

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

internal/crew/manager.go

@@ -98,6 +98,12 @@ func (m *Manager) Add(name string, createBranch bool) (*CrewWorker, error) {
 		return nil, fmt.Errorf("creating mail dir: %w", err)
 	}
 
+	// Set up shared beads: crew uses rig's shared beads via redirect file
+	if err := m.setupSharedBeads(crewPath); err != nil {
+		// Non-fatal - crew can still work, warn but don't fail
+		fmt.Printf("Warning: could not set up shared beads: %v\n", err)
+	}
+
 	// Create CLAUDE.md with crew worker prompting
 	if err := m.createClaudeMD(name, crewPath); err != nil {
 		_ = os.RemoveAll(crewPath)
@@ -380,3 +386,53 @@ type PristineResult struct {
 	Synced     bool   `json:"synced"`
 	SyncError  string `json:"sync_error,omitempty"`
 }
+
+// setupSharedBeads creates a redirect file so the crew worker uses the rig's shared .beads database.
+// This eliminates the need for git sync between crew clones - all crew members share one database.
+//
+// Structure:
+//
+//	rig/
+//	  mayor/rig/.beads/     <- Shared database (the canonical location)
+//	  crew/
+//	    <name>/
+//	      .beads/
+//	        redirect        <- Contains "../../mayor/rig/.beads"
+func (m *Manager) setupSharedBeads(crewPath string) error {
+	// The shared beads database is at rig/mayor/rig/.beads/
+	// Crew clones are at rig/crew/<name>/
+	// So the relative path is ../../mayor/rig/.beads
+	sharedBeadsPath := filepath.Join(m.rig.Path, "mayor", "rig", ".beads")
+
+	// Verify the shared beads exists
+	if _, err := os.Stat(sharedBeadsPath); os.IsNotExist(err) {
+		// Fall back to rig root .beads if mayor/rig doesn't exist
+		sharedBeadsPath = filepath.Join(m.rig.Path, ".beads")
+		if _, err := os.Stat(sharedBeadsPath); os.IsNotExist(err) {
+			return fmt.Errorf("no shared beads database found")
+		}
+	}
+
+	// Create crew's .beads directory
+	crewBeadsDir := filepath.Join(crewPath, ".beads")
+	if err := os.MkdirAll(crewBeadsDir, 0755); err != nil {
+		return fmt.Errorf("creating crew .beads dir: %w", err)
+	}
+
+	// Calculate relative path from crew/.beads/ to shared beads
+	// crew/<name>/.beads/ -> ../../mayor/rig/.beads or ../../.beads
+	var redirectContent string
+	if _, err := os.Stat(filepath.Join(m.rig.Path, "mayor", "rig", ".beads")); err == nil {
+		redirectContent = "../../mayor/rig/.beads\n"
+	} else {
+		redirectContent = "../../.beads\n"
+	}
+
+	// Create redirect file
+	redirectPath := filepath.Join(crewBeadsDir, "redirect")
+	if err := os.WriteFile(redirectPath, []byte(redirectContent), 0644); err != nil {
+		return fmt.Errorf("creating redirect file: %w", err)
+	}
+
+	return nil
+}