Write a Python program to sum three given integers. However, if two values are equal, the sum will be zero.

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def sum_three(x, y, z):
    if x == y or y == z or x==z:
        sum = 0
    else:
        sum = x + y + z
    return sum
print(sum_three(2, 1, 2))
print(sum_three(3, 2, 2))
print(sum_three(2, 2, 2))
print(sum_three(1, 2, 3))