Use frozen lockfile for test dependencies in CI (#4442)

* Use frozen lockfile for test dependencies in CI

This might be causing more Playwright issues.

* Bump Playwright

Mostly just to trigger a reinstall of dependencies since it is cached
and still failing.

Once updated it errors saying install needs to run so add that too.

test/package.json

@@ -2,7 +2,7 @@
   "license": "MIT",
   "#": "We must put jest in a sub-directory otherwise VS Code somehow picks up the types and generates conflicts with mocha.",
   "devDependencies": {
-    "@playwright/test": "^1.12.1",
+    "@playwright/test": "^1.16.3",
     "@types/jest": "^27.0.2",
     "@types/jsdom": "^16.2.13",
     "@types/node-fetch": "^2.5.8",
@@ -13,7 +13,7 @@
     "jest-fetch-mock": "^3.0.3",
     "jsdom": "^16.4.0",
     "node-fetch": "^2.6.1",
-    "playwright": "^1.12.1",
+    "playwright": "^1.16.3",
     "supertest": "^6.1.6",
     "ts-jest": "^27.0.7",
     "wtfnode": "^0.9.1"