feat: Create new non-hacky GitHub Pages action

[jaredcwhite]

It was always a bit of a hack to wire up a GH action to build a site and they copy the output files into a branch to be picked up by GitHub Pages for hosting. By far the most hosting-related issues which have come up in support channels has been related to Pages.

But now, GitHub has rolled out a whole new, "sanctioned" way to build any type of static site and host it through Pages. That's pretty cool! We should try to support this and test an updated bundled configuration before the next release.