so you didnt read book 5.
TAIM is god. its able to reformat continents, shape evolution, and curate history. it doesnt have free will but as far as gods are concerned its as powerful as yahweh is in the bible. TAIM's only other limit is that it cannot possess anyone with Admin Authority, which means the 4 Reis and Claire.
Rae Taylor wasnt in control until Rei Ohashi 2 was uploaded, it was following Taim's script. It was literally a drone until the first day of school.
earth 103 is the literal reading of the text, and its not like the Demon Queen didnt have thousands of years to write her new script between the previous iteration and the observed timeline.