feat: add card examples and speed up rtc connect

examples/cards/instances/6633c6dc-4772-4e47-a402-1e103026208a/card.json

@@ -0,0 +1,18 @@
+{
+  "id": "6633c6dc-4772-4e47-a402-1e103026208a",
+  "kind": "text",
+  "title": "3-Day Agenda",
+  "content": "",
+  "question": "",
+  "choices": [],
+  "response_value": "",
+  "slot": "live-calendar-3day",
+  "lane": "context",
+  "priority": 50,
+  "state": "active",
+  "template_key": "calendar-agenda-live",
+  "context_summary": "",
+  "chat_id": "web",
+  "created_at": "2026-03-11T18:18:25.621797+00:00",
+  "updated_at": "2026-03-11T18:18:25.621797+00:00"
+}

examples/cards/instances/6633c6dc-4772-4e47-a402-1e103026208a/state.json

@@ -0,0 +1,12 @@
+{
+  "title": "3-Day Agenda",
+  "subtitle": "Family Calendar",
+  "tool_name": "mcp_home_assistant_calendar_get_events",
+  "calendar_names": [
+    "Family Calendar"
+  ],
+  "range_days": 3,
+  "max_events": 8,
+  "refresh_ms": 900000,
+  "empty_text": "No events scheduled."
+}