Use GitHub Actions cache for installed binaries

[flip1995]

Fixes #4

This uses the changes from actions-rs/core#92 to install

For easier review, I'll comment some of the code changes.

This is the first time I'm writing TS code ever, so I'm not confident that this is the right way to do it. I think, after merging actions-rs/core#92, I have to rebuild and commit dist/index.js?

This change has to be merged together with/after actions-rs/core#92

Drawbacks

This removes the use-cache key, since with this implementation it is useless. I wouldn't consider this breaking change a problem though, since this is an experimental action and this key was unused anyway.