Please solve the programming task below using a self-contained code snippet in a markdown code block.

You are given an integer array nums.

The low score of nums is the minimum absolute difference between any two integers.
The high score of nums is the maximum absolute difference between any two integers.
The score of nums is the sum of the high and low scores.

Return the minimum score after changing two elements of nums.
 
Please complete the following python code precisely:
```python
class Solution:
    def minimizeSum(self, nums: List[int]) -> int:
```