How to prevent components from unmounting when path changes?

Is there a way to stop the route from unmounting? In my app I would need to keep react state between switching the routes.

Here you can see that, if we change route then home respective route component will mount and unmount. I don't want.

CODESANDBOX DEMO

I've looked in

How can I prevent the unmount in React Components?

How can I prevent React from unmounting/remounting a component?

but doesn't work for me.

index.js

import React from "react";
import { createRoot } from "react-dom/client";
import { BrowserRouter, Routes, Route } from "react-router-dom";
import App from "./App";
import First from "./routes/First";
import Second from "./routes/Second";

const rootElement = document.getElementById("root");
const root = createRoot(rootElement);

root.render(
  <BrowserRouter>
    <Routes>
      <Route path="" element={<App />} />
      <Route path="first" element={<First />} />
      <Route path="second" element={<Second />} />
    </Routes>
  </BrowserRouter>
);

App.js

import * as React from "react";
import { Link } from "react-router-dom";

export default function App() {
  return (
    <div>
      <h1>Prevent Routing</h1>
      <nav
        style={{
          borderBottom: "solid 1px",
          paddingBottom: "1rem"
        }}
      >
        <Link to="/first">First</Link> |<Link to="/second">Second</Link>
      </nav>
    </div>
  );
}

First.js

import * as React from "react";
import { useEffect } from "react";
import { Link } from "react-router-dom";

export default function First() {
  useEffect(() => {
    console.log("mounted First");

    return () => console.log("unmounted First");
  }, []);

  return (
    <main style={{ padding: "1rem 0" }}>
      <Link to="/">Home</Link>
      <h2>First</h2>
    </main>
  );
}

Second.js

import * as React from "react";
import { useEffect } from "react";
import { Link } from "react-router-dom";

export default function Second() {
  useEffect(() => {
    console.log("mounted Second");

    return () => console.log("unmounted Second");
  }, []);

  return (
    <main style={{ padding: "1rem 0" }}>
      <Link to="/">Home</Link>
      <h2>Second</h2>
    </main>
  );
}

React Router will always unmount the component when it's not matched by a path.

You could fix this by combining both Components with a double route, each component can determine what he will render based on the current path.

So the main routing will look something like:

<Route path={[ '/first', '/second' ]}>
    <First {...{}} />
    <Second {...{}} />
</Route>

Then use useLocation in the component to toggle the render:

import { useLocation } from "react-router-dom";

function First(props) {

    const location = useLocation();

    if (location.pathname !== '/first') {
        return null
    }
}