[FEATURE] Allow all Github operations for Claude Tag over MCP

### Preflight Checklist

- [x] I have searched [existing requests](https://github.com/anthropics/claude-code/issues?q=is%3Aissue%20label%3Aenhancement) and this feature hasn't been requested yet
- [x] This is a single feature request (not multiple features)

### Problem Statement

It looks like Claude Tag only has access to a subset of Github MCP tools that normal Claude Code has. for example, all `actions_list`, `actions_get`, `get_job_logs`, `list_workflow_runs`, `run_workflow` are missing.

This is blocking me from using Claude Tag to execute some workflows that rely on skills that need those tools. for example skills that involve watching Github Actions workflow runs.

### Proposed Solution

Claude Tag should have access to all Github MCP tools

### Alternative Solutions

Not use Claude Tag for these reasons or try to figure out a way to get it done using the MCP tools it does have.

### Priority

High - Significant impact on productivity

### Feature Category

MCP server integration

### Use Case Example

See problem statement

### Additional Context

_No response_

No file or test is named. Start by locating the Claude Tag and GitHub MCP tool-registration entry points, then compare its exposed tools with normal Claude Code, including actions_list, actions_get, get_job_logs, list_workflow_runs, and run_workflow. Done means Claude Tag exposes the full GitHub MCP tool set and can support skills that watch GitHub Actions workflow runs.

Written by the indexing model from the issue text.