[Nexus]

Самый простой вариант:

import React, {useState} from 'react';

function Box(props: {className?: string}) {
    return <div className={props.className}>Сюда добавить класс</div>;
}

function Button(props: {
    setBoxClassName: React.Dispatch<React.SetStateAction<string | undefined>>,
}) {
    return <button onClick={() => {
        props.setBoxClassName(w => w ? undefined : 'd-none');
    }}>Клик</button>
}

function App() {
    const [boxClassName, setBoxClassName] = useState<string | undefined>();
    
    return <>
        <Box className={boxClassName}/>
        <Button setBoxClassName="setBoxClassName"/>
    </>;
}