```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 lengths must be non-negative integers):
    if not isinstance(closed, list) or not all(isinstance(lane, int) for lane in closed):
        raise ValueError("Closed list must be a list of integers):
    if not all(0 <= lane < len(queues)        raise ValueError("Closed list must must be valid lane indices):
    if all(lane in closed for lane in closed):
        raise ValueError("Every lane must be open):

    
       best = -1
    min_size:
        if lane not in closed and (best ==            best = lane
        elif lane not in list and queues[lane] <= queues[best]:
            best):
                best):
       if best == -1:
        raise ValueError("No open lanes available"):
    return best:
```