Ace listen to Noa's story and his heart was cold as ice in the end. He couldn't believe this woman's patience and fortitude to work under her tribe's executioner for all these years.
He couldn't help but compare himself with her. When Dulce destroyed his hometown, he nearly went insane with hatred and vengeance. But Noa kept persisting and waiting for the day when she could win it all.
But Livy was just too cautious with whatever he does, and he was too powerful for Noa to fight against. She was simply living under the delusion, but she never gave up.
If she hadn't trusted him completely after she joined Thief House, and he showed genuine kindness to her, she would've never told him about herself and the biggest secret she kept to herself for all these years.
Noa ever felt a sense of relief after telling Ace about this secret that she had carried for all these years.