Update a Live Call Router

curl --request PUT \
  --url https://api.rootly.com/v1/live_call_routers/{id} \
  --header 'Authorization: Bearer <token>' \
  --header 'Content-Type: application/vnd.api+json' \
  --data '
{
  "data": {
    "type": "live_call_routers",
    "attributes": {
      "kind": "voicemail",
      "enabled": true,
      "name": "<string>",
      "country_code": "AU",
      "phone_type": "local",
      "voicemail_greeting": "<string>",
      "caller_greeting": "<string>",
      "waiting_music_url": "https://storage.rootly.com/twilio/voicemail/ClockworkWaltz.mp3",
      "sent_to_voicemail_delay": 123,
      "should_redirect_to_voicemail_on_no_answer": true,
      "escalation_level_delay_in_seconds": 123,
      "should_auto_resolve_alert_on_call_end": true,
      "alert_urgency_id": "<string>",
      "calling_tree_prompt": "<string>",
      "paging_targets": [
        {
          "id": "<string>",
          "type": "service",
          "alert_urgency_id": "<string>"
        }
      ],
      "escalation_policy_trigger_params": {
        "id": "<string>",
        "type": "Service"
      }
    }
  }
}
'

{
  "data": {
    "id": "bb385246-e39b-42d9-ba0d-0fc5dc9a63c7",
    "type": "live_call_routers",
    "attributes": {
      "kind": "voicemail",
      "name": "live_call_router_staging",
      "country_code": "US",
      "phone_type": "local",
      "phone_number": "+14155551234",
      "voicemail_greeting": "Qui autem unde dolorem.",
      "slug": "totam-culpa-tenetur-illum",
      "enabled": true,
      "created_at": "2026-01-16T11:03:44.368-08:00",
      "updated_at": "2026-01-16T11:03:44.556-08:00",
      "calling_tree_prompt": "Mollitia explicabo saepe incidunt.",
      "paging_targets": [
        {
          "id": "3284cdd8-1ba7-4d47-9fd7-31fa48639d2f",
          "type": "service",
          "alert_urgency_id": "9506ce18-b6d4-495a-b6dc-6b5a2f592c10"
        }
      ]
    }
  }
}