[FEATURE][BUG] Improve clarity when user asks about account switching - distinguish between Git and Claude accounts

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

Problem Description

When a user asks "Which account am I logged in with?" in German ("Mit welchem Konto bin ich angemeldet?"), Claude Code
incorrectly assumes they're asking about Git configuration rather than Claude CLI authentication.

## Steps to Reproduce

1. User asks about their current login status
2. Assistant responds with Git user.name/user.email information
3. User clarifies they want to change their login
4. Assistant continues to provide Git configuration instructions
5. User clarifies multiple times they mean Claude account, not Git
6. Significant confusion ensues before understanding the actual request

## Expected Behavior

• Assistant should clarify whether user means Git or Claude authentication
• When in Claude Code context, prioritize Claude CLI account information
• Provide clear instructions for claude logout and claude login

## Actual Behavior

• Assistant assumes Git configuration is the primary concern
• Provides extensive Git profile management instructions
• Fails to recognize working environment (VS Code terminal with Claude Code)
• When finally understanding, claims inability to execute logout commands

## User Impact

• Frustrating experience requiring multiple clarifications
• Simple task (account switching) becomes unnecessarily complex
• User explicitly requested this be reported as poor basic functionality

## Suggested Improvements

1. Add context awareness: When running in Claude Code, prioritize Claude-related queries
2. Implement clarifying questions for ambiguous "account" references
3. Add clear documentation for account switching workflow
4. Consider adding a /switch-account command or similar

## Environment

• Platform: Windows 11
• Context: VS Code terminal
• Working directory: Non-Git repository
• Claude CLI: Installed at /c/Users/[WIN_User_Login]/.local/bin/claude

Proposed Solution

Use as VS Code developer yourself with many projects, identities related to customer's specifica.

Alternative Solutions

Claude prepared above problem description, but isn't able to help in own environment to look up any potentially existing open or closed issues. I'm expecting a far better integration of Claud Code into Anthropic's Environment. I'm a MAX user paying a lot for premium functionality.

Priority

High - Significant impact on productivity

Feature Category

Interactive mode (TUI)

Use Case Example

See problem description.

Additional Context

_No response_