Remove apple specific steps from react-native-macos-init publish

[Saadnajmi]

Please select one of the following

• I am removing an existing difference between facebook/react-native and microsoft/react-native-macos 👍
• I am cherry-picking a change from Facebook's react-native into microsoft/react-native-macos 👍
• I am making a fix / change for the macOS implementation of react-native
• I am making a change required for Microsoft usage of react-native

Summary

As it turns out, this job runs on Ubuntu. So we shouldn't do anything related to home-brew. We also shouldn't need to, since it's a JS package. Revert the setup steps to what they were like in 0.68-stable

Changelog

[INTERNAL] [FIXED] - Remove apple specific steps from react-native-macos-init publish

Test Plan

I'll run the web validator again.