chore: Update Playwright to v1.37.1 (deephaven#1467)

- No longer need both the `playwright` and `@playwright/test` packages,
just need `@playwright/test`

package.json

@@ -71,7 +71,7 @@
     "@deephaven/tsconfig": "file:../tsconfig",
     "@deephaven/utils": "file:../utils",
     "@fortawesome/fontawesome-common-types": "^6.1.1",
-    "@playwright/test": "^1.30.0",
+    "@playwright/test": "^1.37.1",
     "@testing-library/jest-dom": "^5.16.4",
     "@testing-library/react": "^12.1.3",
     "@testing-library/react-hooks": "^8.0.1",
@@ -125,7 +125,6 @@
     "karma-jasmine": "~0.1.5",
     "lerna": "^7.1.4",
     "npm-run-all": "^4.1.5",
-    "playwright": "^1.30.0",
     "prettier": "3.0.0",
     "react": "^17.0.2",
     "react-dom": "^17.0.2",

tests/docker-scripts/Dockerfile

@@ -1,7 +1,7 @@
 # syntax=docker/dockerfile:1
 # Dockerfile for updating the snapshots.
 # Expects to be run from the root of the web-client-ui repo
-FROM mcr.microsoft.com/playwright:v1.30.0-jammy AS playwright
+FROM mcr.microsoft.com/playwright:v1.37.1-jammy AS playwright
 WORKDIR /work/
 
 # Update packages list and install some build tools