Necron culture have an interesting political bent to it. Lords constantly vie for power and influence, often playing the long game and faking loyalty until it is the right time to strike. I'd like to see some of that happen in this story.
Some food for thought for the next chapter: when Taylor and Piggot meet, Piggot will inevitably do whatever she can to get Taylor in the Wards or failing that, give away as much agency to the PRT as humanly possible. Being only a fifteen year old girl who's been abused since forever, Taylor gets bulldozed in the verbal warfare game. Then, just as she's about to cave and sell herself into indentured servitude, a switch flips in her mind and her inner Nemensor takes over.
Taylor sits up straight and calmly starts to think about her situation. She works out what she has, what she wants, and in what way the PRT can be an ally or an obstacle. In less than a minute, thanks to her personal knowledge of the world and her 'experience' as a Necron Lord, she works out a plan of action. She turns the tables on Piggot, appealing to her ego, personal biases, and the wedge between the PRT and Protectorate to maneuver the director in a position where she has no choice but to give Taylor her tech back and sign the supplier contract. The two shake hands and part ways.
Then Taylor gets home and barfs up her breakfast while wondering what the heck just happened. Meanwhile, in a different time and place, a Necron Lord cackles madly.