```python
from typing import List

def score_drop(scores: List[int]) -> int:
    if not scores:
        return 0
    
    if len(scores) == 1:
        return 0
    
    min_score = min(scores)
    if scores.count(min_score) > 1:
        scores.remove(min_score)
    
    return sum(scores)
```