After the conference, Link politely rejected Anthony's invitation. He prepared to return directly to his territory and find Vance. He needed Vance's help if he wanted to repair Nana.
Coming out of the Heaven's Thorn, Link began thinking of how to repair Nana.
He had dealt with Nana before and was certain about this magic puppet's strength. She was extremely fast and had almost 700 years of battle experience. She reacted quickly and was exceedingly sensitive to enemies' weaknesses. Her body was strong; basic elemental magic was mostly ineffective on her. Bottom line, she was practically a perfect soldier.
Link thought for the entire way but could not think of any areas to fix. Vance had spent twenty years creating this magic puppet, and it definitely couldn't be underestimated.
That simplified things. Since he couldn't fix it, he would just strengthen it, pushing Nana's limits as far as he could.