InitWidgetDialogDto

{
    "id": "507f1f77bcf86cd799439011",
    "last_message": {
        "content": "Привет! Как дела?",
        "sender": {
            "id": "550e8400-e29b-41d4-a716-446655440000",
            "type": "lead",
            "external_id": "123456789",
            "profile": {
                "first_name": "Иван",
                "last_name": "Петров",
                "username": "ivan_petrov",
                "avatar_url": "https://example.com/avatar.jpg",
                "platform_type": "vk"
            }
        },
        "lead_id": "507f1f77bcf86cd799439011",
        "timestamp": "2026-01-09T16:25:49.680Z",
        "action_type": "message_created",
        "attachments": [
            {
                "type": "photo",
                "count": 2
            },
            {
                "type": "document",
                "count": 1
            }
        ]
    },
    "lead_unread_count": 3,
    "display_info": {
        "name": "Алексей",
        "avatar_url": "https://example.com/avatar.jpg",
        "source_type": "user",
        "platform_type": "vk"
    },
    "search": {
        "score": 85.5,
        "total_matches": 3,
        "highlight": "Ваш <mark>заказ</mark> оформлен успешно",
        "event_id": "507f1f77bcf86cd799439012"
    },
    "current_typing": [
        {
            "sender": {
                "id": "agent-uuid",
                "type": "assistant",
                "first_name": "Иван",
                "last_name": "Петров"
            },
            "started_at": "2026-01-30T12:00:00.000Z",
            "streaming": true
        }
    ]
}