Persisting state on browser reload not working in react

I have checked on blogs and other stack overflow questions for this. The answer is quite simple and clear, but doesn't seem to work for me. I am using functional component, I tried to use both localStorage and sessionStorage for a simple counting app. The app still works but the count state defaults back to 0 on browser reload instead of the current state in the sessionStorage. I must be missing something or I get this completely wrong...

Here is my code... Manipulating the count into and from the sessionStorage

// Setting the count to the stored value in localStorage...
  useEffect(() => {
    setCount(JSON.parse(sessionStorage.getItem('count')))
  }, [])

  // setting the local storage every time count changes...
  useEffect(() => {
    sessionStorage.setItem('count', count)
  }, [count])

Handling click events...

// The handlers...
  const plusHandler = () => {
    const newCount = count
    setCount(newCount + 1)
  }

  const minusHandler = () => {
    const newCount = count
    setCount(newCount - 1)
  }

Printing the count using <p>{count}</p>

See the Full CodeSandbox Project Here

Even a short description of what I might be doing wrong will be appreciated...