Fix e2e test page selectors due to hds refactor (#2610)

* chore: 🤖 fix e2e broken tests due to hds refactor

* chore: 🤖 remove unneeded change & fix another selector

* chore: 🤖 upgrade playwright

* chore: 🤖 remove unneeded dependency in desktop ui

ui/admin/package.json

@@ -53,7 +53,6 @@
     "@glimmer/component": "^1.1.2",
     "@glimmer/tracking": "^1.1.2",
     "@hashicorp/ember-asciinema-player": "https://github.com/hashicorp/ember-asciinema-player.git#e047a096039cff70234c232efe75dcad74c6358a",
-    "@playwright/test": "^1.43.0",
     "babel-loader": "^9.2.1",
     "broccoli-asset-rev": "^3.0.0",
     "concurrently": "^9.1.0",