refactor: Allow cache deletion to be handled

[j-sakamoto]

In situations where we wanted to delete the cache and then transition to a new page, I faced the problem that the page to be transitioned to would be blank if the cache was asynchronously removed.

  const navigate = useNavigate()
  const onClickLogo = useCallback(async (e: React.MouseEvent) => {
    e.preventDefault()
    // If the await is removed, a blank component is displayed.
    await aliveRef.current?.removeCache('/') 
    navigate('/')
  }, [navigate, aliveRef])

I created a PR because i think some users may face similar problems.