[BUG] SendUserFile: "Save skill" button missing on .skill files

Preflight Checklist

• [x] I have searched existing issues and this hasn't been reported yet
• [x] This is a single bug report (please file separate reports for different bugs)
• [x] I am using the latest version of Claude Code

What's Wrong?

When Claude delivers .skill files via the SendUserFile tool, the file cards appear with the SKILL badge, filename, and size — but no "Save skill" button is shown. There is no way to install the skill from the UI.

What Should Happen?

A "Save skill" button should appear on .skill file cards delivered via SendUserFile, allowing the user to install the skill into their profile directly from the conversation

Error Messages/Logs

Steps to Reproduce

1. Use the skill-creator skill to package a custom skill via package_skill.py
2. Claude delivers the .skill file via SendUserFile
3. The file card appears with the SKILL badge, filename, and file size
4. No "Save skill" button is visible — card is display-only

Claude Model

Sonnet (default)

Is this a regression?

I don't know

Last Working Version

_No response_

Claude Code Version

2.1.177 (Claude Code)

Platform

Other

Operating System

macOS

Terminal/Shell

Terminal.app (macOS)

Additional Information

<img width="589" height="224" alt="Image" src="https://github.com/user-attachments/assets/697ecd3a-87f1-4c1b-8165-f93594bebbdb" />