feat(config): set GT_ROOT env var for all agent sessions

Previously GT_ROOT was documented as a formula search path but never
actually set, making $GT_ROOT/.beads/formulas/ unreachable for agents.

Now BuildStartupCommand automatically sets GT_ROOT to the town root,
enabling all agents (witness, refinery, polecat, crew, etc.) to find
town-level formulas without relying on cwd-relative paths.

Also adds a doctor check (gt-root-env) that warns when existing sessions
are missing GT_ROOT, with instructions to restart sessions.

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

internal/doctor/gtroot_check.go

@@ -0,0 +1,119 @@
+package doctor
+
+import (
+	"fmt"
+	"strings"
+
+	"github.com/steveyegge/gastown/internal/tmux"
+)
+
+// GTRootCheck verifies that tmux sessions have GT_ROOT set.
+// Sessions without GT_ROOT cannot find town-level formulas.
+type GTRootCheck struct {
+	BaseCheck
+	tmux TmuxEnvGetter // nil means use real tmux
+}
+
+// TmuxEnvGetter abstracts tmux environment access for testing.
+type TmuxEnvGetter interface {
+	ListSessions() ([]string, error)
+	GetEnvironment(session, key string) (string, error)
+}
+
+// realTmux wraps real tmux operations.
+type realTmux struct {
+	t *tmux.Tmux
+}
+
+func (r *realTmux) ListSessions() ([]string, error) {
+	return r.t.ListSessions()
+}
+
+func (r *realTmux) GetEnvironment(session, key string) (string, error) {
+	return r.t.GetEnvironment(session, key)
+}
+
+// NewGTRootCheck creates a new GT_ROOT check.
+func NewGTRootCheck() *GTRootCheck {
+	return &GTRootCheck{
+		BaseCheck: BaseCheck{
+			CheckName:        "gt-root-env",
+			CheckDescription: "Verify sessions have GT_ROOT set for formula discovery",
+		},
+	}
+}
+
+// NewGTRootCheckWithTmux creates a check with a custom tmux interface (for testing).
+func NewGTRootCheckWithTmux(t TmuxEnvGetter) *GTRootCheck {
+	c := NewGTRootCheck()
+	c.tmux = t
+	return c
+}
+
+// Run checks GT_ROOT environment variable for all Gas Town sessions.
+func (c *GTRootCheck) Run(ctx *CheckContext) *CheckResult {
+	t := c.tmux
+	if t == nil {
+		t = &realTmux{t: tmux.NewTmux()}
+	}
+
+	sessions, err := t.ListSessions()
+	if err != nil {
+		// No tmux server - not an error, Gas Town might just be down
+		return &CheckResult{
+			Name:    c.Name(),
+			Status:  StatusOK,
+			Message: "No tmux sessions running",
+		}
+	}
+
+	// Filter to Gas Town sessions (gt-* and hq-*)
+	var gtSessions []string
+	for _, sess := range sessions {
+		if strings.HasPrefix(sess, "gt-") || strings.HasPrefix(sess, "hq-") {
+			gtSessions = append(gtSessions, sess)
+		}
+	}
+
+	if len(gtSessions) == 0 {
+		return &CheckResult{
+			Name:    c.Name(),
+			Status:  StatusOK,
+			Message: "No Gas Town sessions running",
+		}
+	}
+
+	var missingSessions []string
+	var okCount int
+
+	for _, sess := range gtSessions {
+		gtRoot, err := t.GetEnvironment(sess, "GT_ROOT")
+		if err != nil || gtRoot == "" {
+			missingSessions = append(missingSessions, sess)
+		} else {
+			okCount++
+		}
+	}
+
+	if len(missingSessions) == 0 {
+		return &CheckResult{
+			Name:    c.Name(),
+			Status:  StatusOK,
+			Message: fmt.Sprintf("All %d session(s) have GT_ROOT set", okCount),
+		}
+	}
+
+	details := make([]string, 0, len(missingSessions)+2)
+	for _, sess := range missingSessions {
+		details = append(details, fmt.Sprintf("Missing GT_ROOT: %s", sess))
+	}
+	details = append(details, "", "Sessions without GT_ROOT cannot find town-level formulas.")
+
+	return &CheckResult{
+		Name:    c.Name(),
+		Status:  StatusWarning,
+		Message: fmt.Sprintf("%d session(s) missing GT_ROOT environment variable", len(missingSessions)),
+		Details: details,
+		FixHint: "Restart sessions to pick up GT_ROOT: gt shutdown && gt up",
+	}
+}

internal/doctor/gtroot_check_test.go

@@ -0,0 +1,147 @@
+package doctor
+
+import (
+	"testing"
+)
+
+// mockTmuxEnv implements TmuxEnvGetter for testing.
+type mockTmuxEnv struct {
+	sessions map[string]map[string]string // session -> env vars
+	listErr  error
+	getErr   error
+}
+
+func (m *mockTmuxEnv) ListSessions() ([]string, error) {
+	if m.listErr != nil {
+		return nil, m.listErr
+	}
+	sessions := make([]string, 0, len(m.sessions))
+	for s := range m.sessions {
+		sessions = append(sessions, s)
+	}
+	return sessions, nil
+}
+
+func (m *mockTmuxEnv) GetEnvironment(session, key string) (string, error) {
+	if m.getErr != nil {
+		return "", m.getErr
+	}
+	if env, ok := m.sessions[session]; ok {
+		return env[key], nil
+	}
+	return "", nil
+}
+
+func TestGTRootCheck_NoSessions(t *testing.T) {
+	mock := &mockTmuxEnv{sessions: map[string]map[string]string{}}
+	check := NewGTRootCheckWithTmux(mock)
+
+	result := check.Run(&CheckContext{})
+
+	if result.Status != StatusOK {
+		t.Errorf("expected StatusOK, got %v", result.Status)
+	}
+	if result.Message != "No Gas Town sessions running" {
+		t.Errorf("unexpected message: %s", result.Message)
+	}
+}
+
+func TestGTRootCheck_NoGasTownSessions(t *testing.T) {
+	mock := &mockTmuxEnv{
+		sessions: map[string]map[string]string{
+			"other-session": {"SOME_VAR": "value"},
+		},
+	}
+	check := NewGTRootCheckWithTmux(mock)
+
+	result := check.Run(&CheckContext{})
+
+	if result.Status != StatusOK {
+		t.Errorf("expected StatusOK, got %v", result.Status)
+	}
+	if result.Message != "No Gas Town sessions running" {
+		t.Errorf("unexpected message: %s", result.Message)
+	}
+}
+
+func TestGTRootCheck_AllSessionsHaveGTRoot(t *testing.T) {
+	mock := &mockTmuxEnv{
+		sessions: map[string]map[string]string{
+			"hq-mayor":          {"GT_ROOT": "/home/user/gt", "GT_ROLE": "mayor"},
+			"hq-deacon":         {"GT_ROOT": "/home/user/gt", "GT_ROLE": "deacon"},
+			"gt-myrig-witness":  {"GT_ROOT": "/home/user/gt", "GT_ROLE": "witness"},
+			"gt-myrig-refinery": {"GT_ROOT": "/home/user/gt", "GT_ROLE": "refinery"},
+		},
+	}
+	check := NewGTRootCheckWithTmux(mock)
+
+	result := check.Run(&CheckContext{})
+
+	if result.Status != StatusOK {
+		t.Errorf("expected StatusOK, got %v", result.Status)
+	}
+	if result.Message != "All 4 session(s) have GT_ROOT set" {
+		t.Errorf("unexpected message: %s", result.Message)
+	}
+}
+
+func TestGTRootCheck_MissingGTRoot(t *testing.T) {
+	mock := &mockTmuxEnv{
+		sessions: map[string]map[string]string{
+			"hq-mayor":          {"GT_ROOT": "/home/user/gt"},
+			"gt-myrig-witness":  {"GT_ROLE": "witness"}, // Missing GT_ROOT
+			"gt-myrig-refinery": {"GT_ROLE": "refinery"}, // Missing GT_ROOT
+		},
+	}
+	check := NewGTRootCheckWithTmux(mock)
+
+	result := check.Run(&CheckContext{})
+
+	if result.Status != StatusWarning {
+		t.Errorf("expected StatusWarning, got %v", result.Status)
+	}
+	if result.Message != "2 session(s) missing GT_ROOT environment variable" {
+		t.Errorf("unexpected message: %s", result.Message)
+	}
+	if result.FixHint != "Restart sessions to pick up GT_ROOT: gt shutdown && gt up" {
+		t.Errorf("unexpected fix hint: %s", result.FixHint)
+	}
+}
+
+func TestGTRootCheck_EmptyGTRoot(t *testing.T) {
+	mock := &mockTmuxEnv{
+		sessions: map[string]map[string]string{
+			"hq-mayor": {"GT_ROOT": ""}, // Empty GT_ROOT should be treated as missing
+		},
+	}
+	check := NewGTRootCheckWithTmux(mock)
+
+	result := check.Run(&CheckContext{})
+
+	if result.Status != StatusWarning {
+		t.Errorf("expected StatusWarning, got %v", result.Status)
+	}
+}
+
+func TestGTRootCheck_MixedPrefixes(t *testing.T) {
+	// Test that both gt-* and hq-* sessions are checked
+	mock := &mockTmuxEnv{
+		sessions: map[string]map[string]string{
+			"hq-mayor":         {"GT_ROOT": "/home/user/gt"},
+			"gt-rig-witness":   {"GT_ROOT": "/home/user/gt"},
+			"other-session":    {}, // Should be ignored
+			"random":           {}, // Should be ignored
+		},
+	}
+	check := NewGTRootCheckWithTmux(mock)
+
+	result := check.Run(&CheckContext{})
+
+	if result.Status != StatusOK {
+		t.Errorf("expected StatusOK, got %v", result.Status)
+	}
+	// Should only count the 2 Gas Town sessions
+	if result.Message != "All 2 session(s) have GT_ROOT set" {
+		t.Errorf("unexpected message: %s", result.Message)
+	}
+}