Add Public/Private Visibility Settings for Catalog Items

Summary

Add visibility level settings (Public/Private) to the AI catalog item creation/editing interface, similar to the snippets visibility UI.

Background

• New "public" concept/feature/field is being introduced for catalog items
• This will allow flexible visibility combinations:
  • Private projects → publish private catalog items
  • Public projects → publish private catalog items
  • Private projects → publish public catalog items
  • Public projects → publish public catalog items

Requirements

These are not hard requirements, but a proposal:

• Add visibility level section to catalog item creation form
• Add visibility level section to catalog item editing form
• Include radio buttons for Private and Public options
• Add descriptive text for each option (similar to snippets)
• Private: "The item is visible only to me" (or appropriate permissions)
• Public: "The item can be accessed without any authentication"

Design Reference

Use the snippets visibility UI as a reference:

Or come up with something else.

Related Issues

• #555080 (closed) - Show/hide edit/delete actions based on permissions
• #553928 (closed) - Backend permissions implementation