Include `ink_linting` folder in releases + Test publish/install in CI (#463)

* Include `ink_linting` folder in releases

* Add CI stage to test if publishing/installing works

* Revert me: Skip most CI stages

* Remove unneeded `--registry`

* Revert "Revert me: Skip most CI stages"

This reverts commit da134108.

* Make CI code clearer

* Remove superfluous newline

* Improve comments

* Refactor `build.rs`

* Add comment

* Add missing argument