If you try to con someone out of their money by proposing a complex scheme to them, and then you make a mistake in your calculations and end up having to give them a lot of money, that’s poetic justice.
Poetic justice is always justice.
Instances of justice are always the intentional work of a person.
Some instances of poetic justice are not the intentional work of any human person.
So, there exists a non-human person.
And God is the best candidate.