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/package.json

@@ -21,6 +21,14 @@
     "react-intl": "6.3.2"
   },
   "devDependencies": {
+    "@babel/core": "7.21.8",
+    "@babel/preset-env": "7.21.5",
+    "@babel/preset-react": "7.18.6",
+    "@babel/preset-typescript": "7.21.5",
+    "babel-loader": "9.1.2",
+    "babel-plugin-formatjs": "10.5.1",
+    "babel-plugin-styled-components": "2.1.1",
+    "babel-plugin-typescript-to-proptypes": "2.1.0",
     "blessed": "0.1.81",
     "chalk": "4.1.2",
     "concurrently": "7.6.0",