docs: Add examples for Node.js and Bun, update Deno example (#3385)

* 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

* Update env tips and add minimal examples for node and bun

And update the one from deno that was really out of date

---------

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

website/docs/examples/bun.md

@@ -0,0 +1,40 @@
+---
+sidebar_position: 4
+sidebar_label: Using with Bun
+---
+
+# Using with Bun
+
+Discordeno supports Bun by installing the `@discordeno/bot` package
+
+## Pre-Requirements
+
+Before, going forward, please make sure to have finished everything on this list.
+
+- Create an application and get the bot token. [Create Application Guide](https://discordeno.js.org/docs/beginner/token)
+- Add your bot to a server you own. [Invite Bot Guide](https://discordeno.js.org/docs/beginner/inviting)
+- Install Discordeno. [Installation Guide](https://discordeno.js.org)
+- Setup environment variables. [Environment Variables Guide](https://discordeno.js.org/docs/beginner/env)
+
+After you installed the `@discordeno/bot` package with bun you can start using it.
+
+This is how you can use it to create a bot that logs into discord:
+
+```ts
+import { createBot } from '@discordeno/bot'
+
+const bot = createBot({
+  token: Bun.env.token,
+  events: {
+    ready: ({ shardId }) => console.log(`Shard ${shardId} ready`),
+  },
+})
+
+await bot.start()
+```
+
+:::note
+If you want you can use bun with any package manager, so if you want to can use npm to install the `node_modules` and use bun to run the code
+:::
+
+You are free to expand from this point with whatever code you want. Happy coding!