As protests at universities across the country—and the responses to them by college authorities and law enforcement—continue to stoke division and anger, the Kremlin appears to have taken a page from its foreign influence playbook, using its disinformation infrastructure in collaboration with state-run media and Telegram influencers in an effort to further divide American society.

That’s not how “taking a page” works. You can’t “take a page” from your own book. The term refers to imitating what someone else has as their own practice.

https://en.wiktionary.org/wiki/take_a_leaf_out_of_someone's_book#English

(idiomatic) To adopt an idea or practice of another person.