text: Title: DOC: Reinstate the JupyterLite-based live shell for the pandas website
  Body: ## Description
  
  Hello, I've recently been looking into the JupyterLite shell for [the `pandas` website's Getting Started page](https://pandas.org/getting_started.html) that briefly used to serve as an interactive endpoint for users browsing the website. It was discussed in https://github.com/pandas-dev/pandas/issues/46682 and added in #47428, subsequently [reported to be a bit slow back then](https://github.com/pandas-dev/pandas/issues/47530), and was removed as a result in https://github.com/pandas-dev/pandas/pull/49807.
  
  I'd like to propose reinstating this shell for the website (either on the same page, or elsewhere on the [docs website's landing page](https://pandas.pydata.org/docs/index.html) via [the `jupyterlite-sphinx` project](https://github.com/jupyterlite/jupyterlite-sphinx), similar to https://github.com/matplotlib/matplotlib/pull/22634), and wish to seek thoughts from the `pandas` maintainers via this issue on whether it would be a good idea to do so for usage by newcomers.
  
  ## Rationale and additional context
  
  - In early 2025, it has been a lot of time by now, and while the world of Python running in WebAssembly still experimental, we've since then made a bunch of improvements across the Pyodide and JupyterLite ecosystems across many past releases – both for improving the stability of the shell, if not its speed, and for being able to run `pandas` code within it.
  - As the one who helped add the WASM CI job for Pandas last year via $57896, this is a related area in terms of `pandas`'s usage within Pyodide, and I would be happy to maintain the shell if it's added and establish some relevant automations towards its upkeep.
  - We have been working on similar improvements to contemporary shells, such as those that exist and have been retained on the websites for [NumPy](https://numpy.org/)and [SymPy](https://live.sympy.org/), recently
  
  xref: https://github.com/Quansight-Labs/czi-scientific-python-mgmt/issues/134
  
  Thank you for your time! :)
  
  <hr>
  
  P.S. Here's a short [example](https://jupyterlite.github.io/demo/repl/index.html?&code=import%20pandas%20as%20pd%0Adf%20%3D%20pd.DataFrame(%0A%20%20%20%20%5B%5B1,%202%5D,%20%5B4,%205%5D,%20%5B7,%208%5D%5D,%0A%20%20%20%20index%3D%5B%27cobra%27,%20%27viper%27,%20%27sidewinder%27%5D,%0A%20%20%20%20columns%3D%5B%27max_speed%27,%20%27shield%27%5D%0A)%0Adf.loc%5B%5B%27viper%27,%20%27sidewinder%27%5D%5D%0A&kernel=python&execute=1), which takes ~7.5 seconds for me to load on a decently stable connection – but even for those with throttled connections, it should be easy to add a small admonition before it that just says "This is an experimental playground", or just prefix the word "Experimental" before the heading.
  
  P.P.S. I noticed that a similar approach has been taken by the Ibis project; they have an admonition on this page: https://ibis-project.org/tutorials/browser/repl that states that it is experimental at the moment.
  
  cc: @jtpio for visibility, as he was among those who collaborated on (and led) this effort previously through the issues and PRs linked.
  
  <hr>
  
  The description and rationale have been copied over with minor changes from my recent message on 18/01/2025 in the `pandas` Slack workspace: https://pandas-dev-community.slack.com/archives/C03PH1SU1M1/p1737168137448029 as suggested by @rhshadrach, which should help this proposal receive greater visibility.