Set up per-tool caches

[TastyPi]

GitHub's actions/setup-node has a cache option which sets up a GitHub Actions cache for the specified package manager.

It would be nice if this action had a similar feature, ideally by automatically setting up caches for all of the tools it installs. This would allow us replace actions/setup-node with this action as a drop-in replacement, at the moment we'd have to manually configure caches.

[milesj]

I don't want to have to maintain this for every kind of tool, so I doubt this will be supported.

If anything, I'd rather focus this effort on caching it via remote cache.