Bug: pro config show as non-root can be inaccurate

[orndorffgrant]

Description of the bug

pro config show as non-root can be inaccurate when the root user changed a setting

Expected behavior

pro config show as non-root always shows the correct settings, with secrets redacted

Current behavior

pro config show as non-root always shows the defaults

To Reproduce

Please include details on how to reproduce the bug.

1. Launch a VM/Container
2. Run sudo pro config set field=value
3. Run pro config show and you won't see the new value

Additional context

We can't just make user-config.json world-readable (as in #2804) because it may contain proxy secrets. We will likely need a private and public version, similar to our machine-token.json split