Bai Yi didn't engage in much small talk with Iron Blood.
After hinting at the combat power she was prepared to bring out and mentioning the existence of the Floating Island, Iron Blood contentedly returned to the small building and took out his map.
Iron Blood said he could give it away directly, as he could redraw it from memory.
But when it comes to memory, the network is faster.
Directly "copying" a version to the network is much more reliable than Iron Blood's memory, leaving this unique map with Iron Blood.
Of course, a more important reason is that as Tree-man Bai Yi, she had no way to "normally" take it with her.
She could explain speaking to him through the Tree-man across the distance as a product of her superpower.
However, she couldn't explain why the Tree-man disappeared with the map and its consciousness after taking the map up the mountain.
