When is $0^0 = 1$ inconvenient? I heard sometimes $0^0 = 0$ may help.

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Don't get me wrong: my question is NOT claiming $0^0 = 1$. I understand it's indeterminate.

Many articles show that defining $0^0 = 1$ is (just) convenient and I completely agree. However, I've heard something like "yeah, $0^0 = 1$ is convenient in integer and real but sometimes it's more reasonable to use $0^0 = 0$ especially in complex ..."

Can anybody show me any case where $0^0 = 0$ (or something else, other than 1) is more convenient?