[FEATURE] Add a configuration option to spawn agent team teammates in separate tmux windows (tabs) instead of panes (splits within a single window)

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

When CLAUDE_CODE_TEAMMATE_MODE is set to "tmux", all teammates are spawned as split panes within the same tmux window. The available values are "auto", "tmux", and "in-process".

Panes work well for small teams, but with larger teams or verbose agent output, each pane becomes too small to read. Separate windows give each agent full screen real estate while still keeping everything in one tmux session for easy navigation (prefix + n / prefix + p).

It is also extremely hard to work with teams on a smaller laptop

Proposed Solution

A new mode (e.g., "tmux-windows") or a supplementary setting that spawns each teammate in its own tmux window within the same session. The team lead would remain in the first window.

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

Interactive mode (TUI)

Use Case Example

_No response_

Additional Context

_No response_