Issue Resolved
I figured it out. There was some environment variables set on my laptop to use a certain proxy, which was blocking the network request. I only figured this out after running a wireshark scan while attempting the CodeWorks_for_Android install.
I made a copy of the environment variables, removed the environment variables that were associated with the proxy, ran the CodeWorks_for_Android install, restarted the laptop, and then added the environment variables back.