feat(site): new home page, docs, and design system (#566)

Co-authored-by: Darius Cepulis <dcepulis@mux.com>
Co-authored-by: Claude Opus 4.6 <noreply@anthropic.com>

.vscode/settings.json

@@ -1,7 +1,8 @@
 {
   // We use Biome for linting and formatting.
   "eslint.enable": false,
-  "prettier.enable": false,
+  // Prettier is enabled only for Astro template formatting (biome handles frontmatter).
+  "prettier.enable": true,
   "editor.formatOnSave": true,
 
   // Auto fix
@@ -18,6 +19,12 @@
   "typescript.tsdk": "node_modules/typescript/lib",
 
   "[astro]": {
+    "editor.defaultFormatter": "esbenp.prettier-vscode"
+  },
+  "[typescriptreact]": {
+    "editor.defaultFormatter": "biomejs.biome"
+  },
+  "[css]": {
     "editor.defaultFormatter": "biomejs.biome"
   }
 }