Why does this not preserve the `useRef` value between strict mode runs?

App.jsx

function generateState() {
  if (!window.executeCount) {
    window.executeCount = 0
  }
  window.executeCount++
  return {
    count: window.executeCount,
  }
}

function App() {
  const countRef = useRef()
  if (!countRef.current) {
    countRef.current = generateState()
  }

  const count = countRef.current

  return <p>{count.count}</p>
}

createRoot(rootElement).render(
  <StrictMode>
    <App />
  </StrictMode>
)