fix: storefront live search relative URLs + auth error messages + TPV clock

- Storefront: use relative URLs in api.ts (fix ERR_ADDRESS_UNREACHABLE)
- Auth: show specific error for EMAIL_NOT_CONFIRMED
- TPV: add clock with date/time, modern SVG icons, panel toggle left

work/runtime-status.json

@@ -1,12 +1,12 @@
 {
-  "feature_id": "F-204",
-  "stage": "qa_gate",
-  "agent": "qa",
+  "feature_id": "SHOP-STOCK",
+  "stage": "build",
+  "agent": "implementer",
   "action": "Añadiendo DELETE handler al proxy",
   "state": "running",
   "next_agent": "leader",
   "waiting_for": "Seleccionar una feature pending y actualizar este estado",
-  "updated_at": "2026-08-24T13:55:13Z",
+  "updated_at": "2026-08-24T13:57:50Z",
   "timeline": [
     {
       "ts": "2026-08-24T05:21:22Z",
@@ -119,6 +119,20 @@
       "stage": "qa_gate",
       "state": "running",
       "message": "Añadiendo DELETE handler al proxy"
+    },
+    {
+      "ts": "2026-08-24T13:56:05Z",
+      "agent": "implementer",
+      "stage": "build",
+      "state": "running",
+      "message": "Añadiendo DELETE handler al proxy"
+    },
+    {
+      "ts": "2026-08-24T13:57:50Z",
+      "agent": "implementer",
+      "stage": "build",
+      "state": "running",
+      "message": "Añadiendo DELETE handler al proxy"
     }
   ]
 }