Site reorg: Remove site/ subpath (#306)

Unfortunately, for proper package pathing, need to remove the `site/`
subpath. This includes:
- Moving everything back into root
- Adding a `copy-site.sh` script to copy resources into `mkdocs/site/`
before building the site with mkdocs.
- Also update examples to ensure all are loading the local sw.js / ui.js
- Consolidate examples in `docs/examples`
- Consolidate assets under src/assets/
- Move `favicons` to root
- Reformat and relint
- Tests: update playwright tests to use mkdocs output, add test for
embed in docs
- bump to 2.0.0-beta.2

mkdocs/site/docs/assets/brand/replaywebpage-icon-white.svg

@@ -0,0 +1,10 @@
+<svg xmlns="http://www.w3.org/2000/svg" xml:space="preserve" fill-rule="evenodd" stroke-linejoin="round" stroke-miterlimit="2" clip-rule="evenodd" viewBox="0 0 24 24">
+  <path fill="none" d="M0 0h23.04v23.04H0z"/>
+  <clipPath id="a">
+    <path d="M0 0h23.04v23.04H0z"/>
+  </clipPath>
+  <g fill="#fff" clip-path="url(#a)">
+    <path d="M6.54 10.8a.24.24 0 0 1-.24-.28 5.32 5.32 0 0 1 2.97-3.8.1.1 0 0 1 .13.02c.03.03.04.08.02.13-.4 1-.69 2.27-.77 3.7 0 .13-.11.23-.24.23H6.54Zm7.07-3.93c-.02-.05 0-.1.03-.13a.12.12 0 0 1 .13-.03 5.32 5.32 0 0 1 2.96 3.8.24.24 0 0 1-.23.29h-1.87a.24.24 0 0 1-.24-.23 11.6 11.6 0 0 0-.78-3.7Zm2.89 5.37c.07 0 .13.03.18.08.05.06.07.13.05.2a5.32 5.32 0 0 1-2.96 3.8.12.12 0 0 1-.13-.02.12.12 0 0 1-.02-.14c.4-.99.69-2.27.77-3.7 0-.13.11-.22.24-.22h1.87Zm-7.07 3.92a.12.12 0 0 1-.16.16 5.32 5.32 0 0 1-2.96-3.8.24.24 0 0 1 .05-.2.24.24 0 0 1 .18-.08h1.87c.13 0 .23.1.24.22.09 1.43.37 2.71.78 3.7Zm.66-3.67c0-.06.02-.13.07-.18.04-.05.1-.07.17-.07h2.38c.07 0 .13.02.17.07.05.05.07.12.07.18a8.77 8.77 0 0 1-.96 3.72c-.12.2-.26.39-.4.5a.12.12 0 0 1-.14 0 2.1 2.1 0 0 1-.4-.5 8.77 8.77 0 0 1-.96-3.72Zm2.86-1.95a.24.24 0 0 1-.24.26h-2.38a.24.24 0 0 1-.24-.26 8.7 8.7 0 0 1 .96-3.72c.12-.2.26-.39.4-.5a.1.1 0 0 1 .14 0c.14.11.28.3.4.5.52.88.86 2.2.96 3.72Z"/>
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+  </g>
+</svg>