fix(doctor): use route path directly for agent beads check (#36)

The agent-beads-exist check was hardcoding '/mayor/rig' suffix when
constructing the beads path, but routes.jsonl can contain paths like
'my-saas' without this suffix.

This caused the check to look for beads in the wrong location:
- Expected: <town>/<route-path>/.beads (e.g., ~/gt/my-saas/.beads)
- Actual: <town>/<rig>/mayor/rig/.beads (e.g., ~/gt/my-saas/mayor/rig/.beads)

The fix stores the full route path and uses it directly when creating
the beads client, instead of reconstructing an assumed path structure.

Fixes agent beads not being found when routes use simple rig names.

internal/doctor/agent_beads_check.go

@@ -33,6 +33,12 @@ func NewAgentBeadsCheck() *AgentBeadsCheck {
 	}
 }
 
+// rigInfo holds the rig name and its beads path from routes.
+type rigInfo struct {
+	name      string // rig name (first component of path)
+	beadsPath string // full path to beads directory relative to town root
+}
+
 // Run checks if agent beads exist for all expected agents.
 func (c *AgentBeadsCheck) Run(ctx *CheckContext) *CheckResult {
 	// Load routes to get prefixes (routes.jsonl is source of truth for prefixes)
@@ -46,16 +52,19 @@ func (c *AgentBeadsCheck) Run(ctx *CheckContext) *CheckResult {
 		}
 	}
 
-	// Build prefix -> rigName map from routes
-	// Routes have format: prefix "gt-" -> path "gastown/mayor/rig"
-	prefixToRig := make(map[string]string) // prefix (without hyphen) -> rigName
+	// Build prefix -> rigInfo map from routes
+	// Routes have format: prefix "gt-" -> path "gastown/mayor/rig" or "my-saas"
+	prefixToRig := make(map[string]rigInfo) // prefix (without hyphen) -> rigInfo
 	for _, r := range routes {
-		// Extract rig name from path like "gastown/mayor/rig"
+		// Extract rig name from path (first component)
 		parts := strings.Split(r.Path, "/")
 		if len(parts) >= 1 && parts[0] != "." {
 			rigName := parts[0]
 			prefix := strings.TrimSuffix(r.Prefix, "-")
-			prefixToRig[prefix] = rigName
+			prefixToRig[prefix] = rigInfo{
+				name:      rigName,
+				beadsPath: r.Path, // Use the full route path
+			}
 		}
 	}
 
@@ -73,20 +82,21 @@ func (c *AgentBeadsCheck) Run(ctx *CheckContext) *CheckResult {
 	// Find the first rig (by name, alphabetically) for global agents
 	// Only consider gt-prefix rigs since other prefixes can't have agent beads yet
 	var firstRigName string
-	for prefix, rigName := range prefixToRig {
+	for prefix, info := range prefixToRig {
 		if prefix != "gt" {
 			continue // Skip non-gt prefixes for first rig selection
 		}
-		if firstRigName == "" || rigName < firstRigName {
-			firstRigName = rigName
+		if firstRigName == "" || info.name < firstRigName {
+			firstRigName = info.name
 		}
 	}
 
 	// Check each rig for its agents
-	for prefix, rigName := range prefixToRig {
-		// Get beads client for this rig
-		rigBeadsPath := filepath.Join(ctx.TownRoot, rigName, "mayor", "rig")
+	for prefix, info := range prefixToRig {
+		// Get beads client for this rig using the route path directly
+		rigBeadsPath := filepath.Join(ctx.TownRoot, info.beadsPath)
 		bd := beads.New(rigBeadsPath)
+		rigName := info.name
 
 		// Check rig-specific agents (using canonical naming: prefix-rig-role-name)
 		witnessID := beads.WitnessBeadIDWithPrefix(prefix, rigName)
@@ -155,14 +165,17 @@ func (c *AgentBeadsCheck) Fix(ctx *CheckContext) error {
 		return fmt.Errorf("loading routes.jsonl: %w", err)
 	}
 
-	// Build prefix -> rigName map from routes
-	prefixToRig := make(map[string]string)
+	// Build prefix -> rigInfo map from routes
+	prefixToRig := make(map[string]rigInfo)
 	for _, r := range routes {
 		parts := strings.Split(r.Path, "/")
 		if len(parts) >= 1 && parts[0] != "." {
 			rigName := parts[0]
 			prefix := strings.TrimSuffix(r.Prefix, "-")
-			prefixToRig[prefix] = rigName
+			prefixToRig[prefix] = rigInfo{
+				name:      rigName,
+				beadsPath: r.Path, // Use the full route path
+			}
 		}
 	}
 
@@ -172,19 +185,21 @@ func (c *AgentBeadsCheck) Fix(ctx *CheckContext) error {
 
 	// Find the first rig for global agents (only gt-prefix rigs)
 	var firstRigName string
-	for prefix, rigName := range prefixToRig {
+	for prefix, info := range prefixToRig {
 		if prefix != "gt" {
 			continue
 		}
-		if firstRigName == "" || rigName < firstRigName {
-			firstRigName = rigName
+		if firstRigName == "" || info.name < firstRigName {
+			firstRigName = info.name
 		}
 	}
 
 	// Create missing agents for each rig
-	for prefix, rigName := range prefixToRig {
-		rigBeadsPath := filepath.Join(ctx.TownRoot, rigName, "mayor", "rig")
+	for prefix, info := range prefixToRig {
+		// Use the route path directly instead of hardcoding /mayor/rig
+		rigBeadsPath := filepath.Join(ctx.TownRoot, info.beadsPath)
 		bd := beads.New(rigBeadsPath)
+		rigName := info.name
 
 		// Create rig-specific agents if missing (using canonical naming: prefix-rig-role-name)
 		witnessID := beads.WitnessBeadIDWithPrefix(prefix, rigName)