Cleanup & fix func --help & func init --help output

[liliankasem]

Issue describing the changes in this PR

n/a

Pull request checklist

• My changes do not require documentation changes
  • Otherwise: Documentation issue linked to PR
• My changes do not need to be backported to a previous version
  • Otherwise: Backport tracked by issue/PR #issue_or_pr
• My changes should not be added to the release notes for the next release
  • Otherwise: I've added my notes to release_notes.md
• I have added all required tests (Unit tests, E2E tests)

Additional information

This PR improves the help system for Azure Functions Core Tools to provide a cleaner, more organized user experience while ensuring no breaking changes to existing functionality. All changes are isolated to help display logic - no breaking changes to core functionality. Commands like func host start and func function new continue to work exactly as before; they're simply hidden from the main help list to reduce clutter while keeping commonly-used contexts visible.

Help Display Improvements

• Added global Options section to func --help showing --script-root and --verbose flags before contexts and actions
• Reordered top-level actions to follow logical workflow: init → new → start → pack (instead of alphabetical)
• Removed function and host contexts from general help display (still functional via func host start, func function new, etc.)
• Controlled action visibility per context (e.g., logs hidden in general help but shown in func kubernetes --help)
• Standardized formatting with consistent indentation and gray text for options (matching other commands)
• Improve func init --help output to properly display options for each worker.

Bug Fixes

• Fixed func azure --help treating --help as an unknown argument
• Fixed validation errors when using --help with commands that require arguments:
  • settings add --help
  • settings delete/remove --help
  • azure functionapp publish --help
• Suppressed DurableManager warnings during help display (no more "Could not find local metadata file" messages)
• Early initialization of ScriptHostHelpers.IsHelpRunning flag to prevent file-based initialization during help

Testing

• Created eng/scripts/validate-command-help-display.sh to verify all --help commands work without exceptions
• Script tests 60+ command combinations and outputs results to out/help-command-outputs/ for validation
• Works from both repo root and eng/scripts directory