feat(webchat): auto-start at root

src/gateway/server.test.ts

@@ -10,6 +10,9 @@ vi.mock("../commands/health.js", () => ({
 vi.mock("../commands/status.js", () => ({
   getStatusSummary: vi.fn().mockResolvedValue({ ok: true }),
 }));
+vi.mock("../webchat/server.js", () => ({
+  ensureWebChatServerFromConfig: vi.fn().mockResolvedValue(null),
+}));
 vi.mock("../web/outbound.js", () => ({
   sendMessageWhatsApp: vi
     .fn()