fix(instance): sort public services so the profile order is stable

The cache is a Go map; unsorted output reshuffled on every poll,
which made hub-client lists visibly jump around.

src/handlers/instance/public_test.go

@@ -61,6 +61,26 @@ func serve(t *testing.T, dataRoot string, services []types.Container) map[string
 	return body
 }
 
+func TestPublicServicesSortedCaseInsensitive(t *testing.T) {
+	// The cache is a Go map, so input order is random per call; the profile
+	// must still be stable across polls.
+	all := []types.Container{
+		{ID: "1", ServiceName: "calendar", Status: "running"},
+		{ID: "2", ServiceName: "Blog", Status: "running"},
+		{ID: "3", ServiceName: "auth-proxy", Status: "running"},
+	}
+	got := publicServices(all)
+	want := []string{"auth-proxy", "Blog", "calendar"}
+	if len(got) != len(want) {
+		t.Fatalf("len = %d, want %d", len(got), len(want))
+	}
+	for i := range want {
+		if got[i].ServiceName != want[i] {
+			t.Fatalf("order[%d] = %q, want %q (full: %v)", i, got[i].ServiceName, want[i], got)
+		}
+	}
+}
+
 func TestPublicProfileFiltersHiddenInfra(t *testing.T) {
 	dataRoot := t.TempDir()
 	body := serve(t, dataRoot, testServices())