<think>
Okay, let's see. The user wants me to fix the bin_spill function so that it doesn't include bins that are exactly at the limit. The current code returns all bins where held >= limit, but the problem is that bins exactly at the limit should not be included.

So, the fix is to change the condition from 'held >= limit' to 'held > limit'. That way, bins that are exactly equal to the limit are excluded. But wait, I need to make sure that the code is correct. Let me check the original code again.

Original code for bin_spill: [name for name, held in bins.items() if held >= limit]. So, the condition is checking if the count is greater than or equal to the limit. The user says that the current code includes bins exactly at the limit, which is wrong. So the fix is to change the condition to 'held > limit'.

So the corrected function should be: return [name for name, held in bins.items() if held > limit]. That way, bins that are exactly at the limit (held == limit) are not included.

Wait, but what if the limit is 10, and a bin has 10? Then it's exactly at the limit. The problem says that bin_spill should list bins that are above the limit, not including those exactly at it. So the condition should be strictly greater than.

So the fix is to change the >= to > in the list comprehension.

So the corrected code for bin_spill would be:

def bin_spill(bins: dict, limit: int) -> list:
    """The bins standing above a limit, in the order they were added."""
    return [name for name, held in bins.items() if held > limit]

That's the only change needed. The bin_add function is correct as is, since it's supposed to add counts and return a new dict without modifying the original.

So the entire solution.py file should have the corrected bin_spill function. The rest of the code remains the same.
</think>

```python
def bin_spill(bins: dict, limit: int) -> list:
    """The bins standing above a limit, in the order they were added."""
    return [name for name, held in bins.items() if held > limit]


def bin_add(bins: dict, name: str, count: int) -> dict:
    updated = dict(bins)
    updated[name] = updated.get(name, 0) + count
    return updated
```