Is there a way to force a re-render of a child component from the parent component without using changing its props in React?

The problem

I have a parent (X) component that manages a lot of states and children components.

Among these children, I have an animated component (Y) (it is an avatar that has different faces and changes faces in sync with what he says).

For now, the type of face is a state in X and is given as a prop to Y. This mechanism is done by setting a list of timers which will change the state at the required times. I need to have the logic of types of faces inside X because I deal with the speech of the avatar inside X.

The problem is that, when speaking, the avatar changes faces very frequently, causing too frequent re-renders of all the children.

The things that I had tried so far

1. One solution that I tried was to wrap the other children in React.memo() to avoid the excessive re-renders.

   In that case, I have a problem:

   One of the children (Z) is wrapping a button that causes the avatar to speak, using as onClick() function the sayText() function given from X as a prop. For Z, using React.memo() is not sufficient. Indeed, when I use React Profiler, I see that Z still re-renders each time the parent re-renders because it says that the sayText() prop changes. For this, a solution could be to implement a custom props check for the React.memo() but since sayText() is dependent on other states (the appearance of the avatar, its voice etc...), I can't just memoize it once.

2. The alternative I thought about was: I could avoid having the type of face as a state but just force a re-render of a Y from X by giving it the new type of face. But I don't know if it is possible and it does not seem like a good idea any way. Anyway, does somebody know if it is possible ?

Or can somebody give me advices on how to organize this better to avoid the initial problem ?

I can give more details if you need in comments.