client/web: update to typescript 5.3.3 (#11267)

Update typescript to 5.3.3. This is a major bump from the previous
version of 4.8.3. This also requires adding newer versions of
@typescript-eslint/eslint-plugin and @typescript-eslint/parser to our
resolutions as eslint-config-react-app pulls in versions that otherwise
do not support typescript 5.x.

eslint-config-react-app has not been updated in 2 years and is seemingly
abandoned, so we may wish to fork it or move to a different eslint config
in the future.

Updates https://github.com/tailscale/corp/issues/17810

Signed-off-by: Mario Minardi <mario@tailscale.com>

client/web/package.json

@@ -32,12 +32,16 @@
     "prettier": "^2.5.1",
     "prettier-plugin-organize-imports": "^3.2.2",
     "tailwindcss": "^3.3.3",
-    "typescript": "^4.7.4",
+    "typescript": "^5.3.3",
     "vite": "^5.1.4",
     "vite-plugin-svgr": "^4.2.0",
     "vite-tsconfig-paths": "^3.5.0",
     "vitest": "^1.3.1"
   },
+  "resolutions": {
+    "@typescript-eslint/eslint-plugin": "^6.2.1",
+    "@typescript-eslint/parser": "^6.2.1"
+  },
   "scripts": {
     "build": "vite build",
     "start": "vite",