Add better tracing and fix propagation of inDesiredState for PSAdapter

[SteveL-MSFT]

PR Summary

• Tracing wasn't correct due to case-sensitivity of JSON and some traces were being written directly instead of through the helper
• Simple tracing should be lowercase and be warn instead of warning
• Add _inDesiredState property to the result object for test if any of the results contain InDesiredState and only true if all are true

[Copilot]

Pull Request Overview

The PR updates the JSON key names used in logging to ensure proper trace level mapping and consistency.

• Converted JSON keys for error, warn, info, debug, and trace from uppercase to lowercase.
• Ensured the logger calls correctly use the lower-case keys as specified.

[SteveL-MSFT]

Need to make one more change to rename InDesiredState to _inDesiredState at the resource level to keep it consistent

Edit: Actually, maybe we'll keep it as-is for now so there's no manipulation of the source