curl --request PUT \
  --url https://juiywycqytekaffjcbfa.supabase.co/functions/v1/api-v1/conversations/{id} \
  --header 'Content-Type: application/json' \
  --header 'x-api-key: <api-key>' \
  --data '
{
  "status": "<string>",
  "ai_mode": "<string>"
}
'

{
  "success": true,
  "data": {
    "conversation": {
      "id": "<string>",
      "customer_name": "<string>",
      "customer_phone": "<string>",
      "customer_email": "<string>",
      "channel": "<string>",
      "status": "<string>",
      "ai_mode": "<string>",
      "agent_id": "<string>",
      "created_at": "<string>",
      "updated_at": "<string>"
    }
  }
}