Nothing you can do to change the toxic bully type person you are describing. People like this play games to get a reaction. They consider any reactions a win and a good “feed”.
When your contract is up you can write a higher up and share what you observed.
Always remember these behaviors reflect a person who is a nothing and doesn’t feel they exist until they get another person to react. Neglected toddler behavior or even a toddler jealous when a younger sibling is born and suddenly they are no longer the center of attention. This can lead to these teasing games to get the younger sibling to complain and annoy the parent. The older sibling then plays the victim to regain attention and favor.