Where (what level) would the character of Gilgamesh in The Epic of Gilgamesh be placed in the Hell of Dante's Inferno?

This
question is interesting because within the framework of Dante's worldview, Gilgamesh is pretty
much doomed no matter what he does. As a pagan born long before Christ, he has no chance of
redemption at all.

Gilgamesh, before the completion of his character arc,
would probably end up in the seventh circle, which punishes the violent. At the beginning of
The Epic of Gilgamesh, Gilgamesh is a tyrannical bully, fighting those
weaker than himself and raping women who cannot protest against their king. He is a violent,
cruel man. In the setting of Gilgamesh, religious faith does not redeem
him, but friendship and love do, setting him on the path to wisdom.

After
his arc is completed, Gilgamesh would end up in the first circle with the other...