WEB: Update to `jupyterlite==0.1.0b10`
Update to the latest `jupyterlite` release for the interactive terminal on the website.

The latest release adds support for caching assets and offline mode, which should help speed things up a little bit, at least when the page is reloaded.

See the release notes for more information: https://github.com/jupyterlite/jupyterlite/releases/tag/v0.1.0b10

- [x] This should help with #47530
- [x] ~[Tests added and passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#writing-tests) if fixing a bug or adding a new feature~
- [x] ~All [code checks passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#pre-commit).~
- [x] ~Added [type annotations](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#type-hints) to new arguments/methods/functions.~
- [x] ~Added an entry in the latest `doc/source/whatsnew/vX.X.X.rst` file if fixing a bug or adding a new feature.~

Any high level before/after load times after this change? Guessing from the changelog that this will be a net positive speedup. Thanks @jtpio 