[BUG] [VS Code Extension] Organization-level skills not loaded (only filesystem paths checked)

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?

Organization-level skills published via claude.ai → Settings → Organization → Skills
are not available in the VS Code extension, even though they work correctly in the
Claude Code desktop app and in claude.ai chat.

The skill is completely absent. Debug logs confirm the extension only loads skills
from local filesystem paths:

Loading skills from: managed=C:\Program Files\ClaudeCode.claude\skills,
user=C:\Users\*******.claude\skills, project=[]

Loaded 0 unique skills (managed: 0, user: 0, project: 0, additional: 0)
getSkills returning: 0 skill dir commands, 0 plugin skills, 16 bundled skills

There is no API call to fetch org-level skills, unlike MCP servers which are
correctly fetched via GET /v1/mcp_servers.

What Should Happen?

Organization skills should be available in the VS Code extension, just like in the
desktop app and web chat.

Error Messages/Logs

Loading skills from: managed=C:\Program Files\ClaudeCode.claude\skills,
user=C:\Users\*******.claude\skills, project=[]

Loaded 0 unique skills (managed: 0, user: 0, project: 0, additional: 0)
getSkills returning: 0 skill dir commands, 0 plugin skills, 16 bundled skills

There is no API call to fetch org-level skills, unlike MCP servers which are
correctly fetched via GET /v1/mcp_servers.

### Steps to Reproduce

1. Publish a skill at the organization level in claude.ai → Settings → Organization → Skills
2. Open VS Code with the Claude Code extension
3. Start a new session
4. The org skill is not listed in available skills


### Claude Model

None

### Is this a regression?

I don't know

### Last Working Version

_No response_

### Claude Code Version

2.1.160 (Claude Code)

### Platform

Anthropic API

### Operating System

Windows

### Terminal/Shell

PowerShell

### Additional Information

- The same org skill works in: Claude Code desktop app ✅, claude.ai chat ✅

## Workaround

None available for team-wide deployment. Copying the skill to each project repo 
or each user's `~/.claude/skills/` are the only options, both unsuitable for 
organization-wide distribution.