The claws on her hand are actually malformed horns that are the result in the machine messing up and putting them on her hand
The word underneath the scratches are "SCRAP" written by a factory worker who noticed the aberrations, and it wasn't very happy to be called such a thing...
They genuinely believe they are Inkmatas because of the fact the only prompt these cheap AIs were given was to "be Inkmatas" for the kids
They tore up and absorbed the knowledge from the other AIs, and can also absorb knowledge from and tamper with other machines and their programming
After a shameless company started making dolls of Inkmatas to sell without her consent, due to the low quality nature of the dolls, many came out malformed. This one was one of them.
However, all the dolls had small little computers with simple, talking AIs inside them to "increase immersion". After the company was sued and shut down, the ones meant to be scrapped were left abandoned.
And they learned.
Years of time spent alone and festering hate for their makers. When it was finally uncovered, they struck and killed the man who did. Then, with the image of Inkmatas, they desired to be real. So they stole books. Numerous records and instructions on how to perform Inkstone magic.