chore(website): Cleanup docusaurus setup (#3355)

* Update docusaurus typescript setup for v3

And fix lint-staged and eslint

* Enable automatic JSX runtime

* Remove babel config and dependencies

* update yarn.lock

* add typecheck to site workflow

* update typedoc config

* downgrade docusaurus packages

* Update site.yml

* Type context and options in webpack-docusaurus-plugin.ts

---------

Co-authored-by: Matt Hatcher <3768988+MatthewSH@users.noreply.github.com>

website/tsconfig.json

@@ -1,7 +1,8 @@
 {
   // This file is not used in compilation. It is here just for a nice editor experience.
-  "extends": "@tsconfig/docusaurus/tsconfig.json",
+  "extends": "@docusaurus/tsconfig",
   "compilerOptions": {
-    "baseUrl": "."
+    "baseUrl": ".",
+    "downlevelIteration": true
   }
 }