Here is a Python script that asks the user for a number N and then runs the FizzBuzz game for those N numbers:
```python
def fizzbuzz(n):
    for i in range(1, n+1):
        if i % 3 == 0 and i % 5 == 0:
            print("FizzBuzz")
        elif i % 3 == 0:
            print("Fizz")
        elif i % 5 == 0:
            print("Buzz")
        else:
            print(i)

n = int(input("Please enter a number: "))
fizzbuzz(n)
```
This script defines a function called fizzbuzz that takes an integer n as an argument. It then loops through the numbers from 1 to n and checks whether each number is divisible by 3, 5, or both. If it is divisible by both 3 and 5, it prints "FizzBuzz". If it is only divisible by 3, it prints "Fizz". If it is only divisible by 5, it prints "Buzz". Otherwise, it just prints the number.

The script then asks the user to enter a number and passes that number as an argument to the fizzbuzz function. This will run the FizzBuzz game for the first n numbers.
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