Rollup merge of rust-lang#146374 - GuillaumeGomez:update-browser-ui-test, r=GuillaumeGomez

Update `browser-ui-test` version to `0.22.2`

Mostly some internal improvements and new commands (like `store-count`).

r? ```@lolbinarycat```

Author: Zalathar

package-lock.json

@@ -1,6 +1,6 @@
 {
   "dependencies": {
-    "browser-ui-test": "^0.22.0",
+    "browser-ui-test": "^0.22.2",
     "es-check": "^6.2.1",
     "eslint": "^8.57.1",
     "eslint-js": "github:eslint/js",