Partial Fraction Decomposition with Complex Number $\frac{1}{z^2 - 2i}$. How do I decompose the fraction

$$\dfrac{1}{z^2 - 2i}$$

into partial fractions? I understand how to do partial fraction decomposition with real numbers, but I am unsure of how to do it with complex numbers. I attempted to find examples online, but all examples are with real numbers -- not complex.
I would greatly appreciate it if people could please take the time to demonstrate this.

the roots of $z^2 - 2i$ are $1+i$ and $-(1+i)$
$$  (1+i)^2 = 1^2 + 2 \cdot 1 \cdot i + i^2 = 1 + 2i - 1 = 2i  $$
