[SukuWc]

Summary

• Adds a "Create a copy" entry to the tree item context menu, allowing configs (including element presets nested under a profile) to be duplicated directly from the tree.
• Fixes the copy inheriting stale displayName/isEditable from nested element presets, which leaked the profile name into the duplicated config's name field (e.g. "Profile / Preset") and left the copy non-editable.

Test plan

• Right-click a top-level config in the tree, "Create a copy", confirm it's duplicated with an editable "Copy of ..." name.
• Right-click an element preset nested inside a profile, "Create a copy", confirm the new config's name shows "Copy of " with no "/" and is editable.
• Confirm the existing detail-pane "Create a copy" button still works for non-editable community configs.

🤖 Generated with Claude Code

[github-actions]

Visit the preview URL for this PR (updated for commit 9c76537):

https://profile-cloud-dev--pr182-sukuwc-create-copy-c-09y8u6he.web.app

_{(expires Fri, 23 Oct 2026 09:58:04 GMT)}

_{🔥 via Firebase Hosting GitHub Action 🌎}

_{Sign: 2a004f867edf1347070dd9beedb18755187a6d4e}