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

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

.gitignore

@@ -15,16 +15,6 @@ node_modules
 !.yarn/releases
 !.yarn/sdks
 !.yarn/versions
-proxies/*/.yarn/*
-!proxies/*/.yarn/patches
-!proxies/*/.yarn/plugins
-!proxies/*/.yarn/releases
-!proxies/*/.yarn/sdks
-!proxies/*/.yarn/versions
-site/api_reference/generated/classes
-site/api_reference/generated/enums
-site/api_reference/generated/interfaces
-site/api_reference/generated/modules
 website/api_reference/generated/classes/*.md
 website/api_reference/generated/enums/*.md
 website/api_reference/generated/interfaces/*.md