MM-52539 Unify versions of Babel used throughout web app and remove unneeded libraries (#23543)

* Remove unneeded Babel plugins and update Babel preset

* Remove unneeded babel/cli package

* Update and share Babel and presets

* Update and share babel-plugin-styled-components

* Update and share babel-plugin-formatjs

* Update and share babel-plugin-typescript-to-proptypes

* Update and share babel-loader

* Remove all Babel-related ESLint libraries

* Remove unused babel-jest from Playbooks

* MM-51968 Remove unused Babel libraries from Boards

* Update snapshots because of course I have to

* Update snapshot

webapp/channels/package.json

@@ -99,15 +99,6 @@
     "zen-observable": "0.9.0"
   },
   "devDependencies": {
-    "@babel/cli": "7.16.0",
-    "@babel/core": "7.16.0",
-    "@babel/eslint-parser": "7.19.1",
-    "@babel/eslint-plugin": "7.19.1",
-    "@babel/plugin-proposal-class-properties": "7.16.0",
-    "@babel/plugin-proposal-object-rest-spread": "7.16.0",
-    "@babel/preset-env": "7.16.4",
-    "@babel/preset-react": "7.16.0",
-    "@babel/preset-typescript": "7.16.0",
     "@deanwhillier/jest-matchmedia-mock": "1.2.0",
     "@hot-loader/react-dom": "17.0.2",
     "@redux-devtools/extension": "3.2.3",
@@ -147,10 +138,7 @@
     "@types/webpack-env": "1.18.0",
     "@typescript-eslint/eslint-plugin": "5.57.1",
     "@typescript-eslint/parser": "5.57.1",
-    "babel-loader": "8.2.3",
     "babel-plugin-lodash": "3.3.4",
-    "babel-plugin-styled-components": "1.12.0",
-    "babel-plugin-typescript-to-proptypes": "1.4.2",
     "bundle-loader": "0.2.0",
     "copy-webpack-plugin": "11.0.0",
     "dotenv-webpack": "8.0.1",