Ebony Ivory [God of War]

[Oh look at that, God of War fic! Got inspired by a Fanart I saw of Kratos hugging Atreus and Calliope while saying "my children" so this idea came to mind if Calliope was alive and joining Kratos and Atreus in their adventure]

Kratos, the Ghost of Sparta and son of Zeus the Greek God of Thunder, cursed to forever have the Blades of Chaos at his side until the end of time, gave his soul to crush his enemies after the death of his wife and daughter
But what if his daughter survived? Joined her father to the realm of the Norse Gods and Giants to live lives as mortals, there when Kratos met and wedded Faye, had his second child Atreus and joined the two when her ashes were to be spread on the highest peek
As a goddess, Calliope is a formidable warrior like her father
But is this adventure too much with an immortal man hunting them while they try to fulfill Faye's wish of her ashes being spread while the looming dread of their lost family in their hearts?