Functional component not re-rendering on state change

I'm looking to re-render a specific portion of this component, (within the .map of my JSX), depending on which value of my optionObject is set to true.

Any ideas as to where I'm going wrong would be greatly appreciated-- still kinda new to React/functional components.

  const [optionObject, setOptionObject] = useState(
    {
      'one' : false,
      'two' : false,
      'three' : true,
    }
  )

  function switchOption(selectedOption) {
    var objectCopy = optionObject;
    for (const [key, value] of Object.entries(objectCopy)) {
      if (key !== selectedOption) {
        objectCopy[key] = false;
      }
      else {
        objectCopy[key] = true;
      }
    }
    setOptionObject(objectCopy);
  }

  return (
     <>
      <div className={styles.browseOptions}>
      <div onClick={()=>switchOption(1)} className={`${styles.option} ${optionObject['one'] ? styles.active : ''}`}><h3>One</h3></div>
      <div onClick={()=>switchOption(2)} className={`${styles.option} ${optionObject['two'] ? styles.active : ''}`}><h3>Two</h3></div>
      <div onClick={()=>switchOption(3)} className={`${styles.option} ${optionObject['three] ? styles.active : ''}`}><h3>Three</h3></div>

      {multi_grid_tiles_data?.map((grid, i) => {
        if (optionObject[grid['parent']['name']])
          return (
            <div key={"gridList-"+i}>
            <GridList grid_data={grid_data}/>
           </div>
          );
      })}
     </>
  );