[FEATURE] Feature Request: Open history conversations in a new tab instead of replacing current session

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

When clicking on a conversation from the history panel, it replaces the currently open conversation. To preserve the current session, I have to manually open a new Claude Code tab first, which adds unnecessary friction.

Suggested solution

• Add an option (e.g., right-click menu or a toggle in settings) to open history conversations in a new tab by default.
• Or support Ctrl+Click on a history item to open in a new tab (similar to browser tab behavior).

Environment

• VS Code extension
• Windows 11

Proposed Solution

Expected behavior

Clicking a history entry should open it in a new tab, leaving the current conversation intact.

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

Interactive mode (TUI)

Use Case Example

_No response_

Additional Context

_No response_