Can we improve the efficiency of the gh-pages PR check by caching package?

A large portion of the time spent running the render website  workflow relates to package installation. It might be possible to speed this up if we cache required packages. This link might be helpful: [https://docs.github.com/en/actions/using-workflows/caching-dependencies-to-speed-up-workflows](https://docs.github.com/en/actions/using-workflows/caching-dependencies-to-speed-up-workflows)   