Remove private: false from package.json

We reference this package with `git+https:`.

@0bex0 is getting a checksum error when installing it as dependency.

This issue has occured before: yarnpkg/berry#2399.

I inspected the zipped packages and noticed the difference is `private:`
in package.json.

I have therefore decided to remove the attribute and see what happens.

package.json

@@ -1,6 +1,5 @@
 {
   "name": "@lune-climate/eslint-config",
-  "private": false,
   "version": "0.0.1-alpha.1",
   "description": "The Lune Climate shared ESLint configuration",
   "main": "index.js",