Update `actions/setup-node` and use the builtin cache feature

[desrosj]

As of version 2.2.2, caching for NPM dependencies is now built into the action/setup-action action. This simplifies workflows utilizing NPM by eliminating the need for a separate step using actions/cache.

The cache key used will be ${{ runner.os }}-npm-${{ hashFiles('') }}, which is the same cache as recommended in the actions/cache documentation.

See ​actions/setup-node#272 or ​https://github.blog/changelog/2021-07-02-github-actions-setup-node-now-supports-dependency-caching/ for more information.

Trac ticket: https://core.trac.wordpress.org/ticket/53584

[desrosj]

In 51341:

Build/Test Tools: Use caching built into actions/setup-node.

This updates the actions/setup-node action to version 2.2.2 and takes advantage of the cache feature now built in. This removes the need for an additional step using actions/cache to cache NPM dependencies.

The cache key used will be ${{ runner.os }}-npm-${{ hashFiles('') }}, which matches the recommendation in the actions/cache documentation and the key currently in use in the WordPress workflows.

Props gziolo.
Fixes #53584.