[Request and ideas] Add the option to minimize to the Windows Task Tray Only

**Mood:** 😊
**Category:** General

Add the option to minimize to the Windows Task Tray only so it is not on the Task Bar, similar to how Outlook or Codex can do.

---
| Field | Value |
| --- | --- |
| App version | 1.0.6 |
| OS | Windows 10.0.26200 |
| Theme | GitHub |
| Path | / |
| Tenure | Day 1 |

Start by checking how the app currently handles minimizing and whether Windows tray behavior is already configured. Verify on Windows 10 that minimizing removes the app from the taskbar while retaining a tray icon, and confirm the behavior matches the requested optional setting.

索引モデルが issue の本文から書いたものです。