Very precise and thoughtful writing 👏👏. But, in my opinion, Nietzsche didn't say God is dead because of his harsh and disturbed life. Primarily, he believed that God had become intellectually unsustainable and culturally valuelsss in modern age, creating nihilism. He searched for a new, life affirming foundation for human existence in a godless world. If the old values based on God were dead, humanity had to create their own values and find meaning within life and within themselves. To this concept, he called 'Ubermensch (Superman). '
The full quote is:
"God is dead. God remains dead. And we have killed him. How shall we comfort ourselves, the murderers of all murderers? What was holiest and mightiest of all that the world has yet owned has bled to death under our knives: who will wipe this blood off us?... Is not the greatness of this deed too great for us? Must we ourselves not become gods simply to appear worthy of it?"
He says we humans have killed the God.

In the end, it is just my perspective and approach towards Nietzsche. It's the beauty of literature, one word can have infinite interpretations.
Thanks for sharing and have a beautiful day 🤗