```python
def pick_lane(queues: list[int], closed:    if not isinstance(queues, list) or not queues:
        raise ValueError("Queues must must be a non-empty list.")
    if not all(isinstance(queue, int) and queue >= 0 for queue in queues):
        raise ValueError("All elements must be non-negative integers"):
    if not isinstance(closed, list):
        raise ValueError("Closed list must must be a list"):
    if not all(isinstance(index) and 0 <= index < len(queues)        raise ValueError("Closed list elements must be integers pointing at valid lanes")
    if all(lane in closed for lane in range(len(queues))):
        raise ValueError("At least one open lane must be available")

    best = -1
    min_min_queue_length:
 float('inf'):
    for lane in range(len(queues)):
        if lane not in closed and queues[lane] < list_min_queue_length:
            list_min_queue_length = queues[lane]
            best = lane
        elif lane not in closed and queues[lane] == list_min_queue_length:
            best = min(best       return best
```