🐛[BUG] Linux下退出Steam时程序间或跟随Steam一同退出

## 请认真检查以下清单中的每一项
- [x] 已经搜索过，没有发现类似的 issue
- [x] 已经搜索过文档，没有发现相关内容
- [x] 已经尝试使用过最新版，问题依旧存在
- [x] 使用的是官方版本（未替换及修改过安装目录程序文件）

### 🐛 描述

当我从系统托盘图标退出Steam时Watt Toolkit偶尔会跟随Steam一同退出

### 📷 复现步骤
#### 这是一个偶发性问题并且我不确定触发条件

1. 打开Watt Toolkit
2. 打开Steam
3. 退出Steam

### 📄 日志信息

[nlog-all-2023-07-09.log](https://github.com/BeyondDimension/SteamTools/files/11994617/nlog-all-2023-07-09.log)
[nlog-all-2023-07-08.log](https://github.com/BeyondDimension/SteamTools/files/11994618/nlog-all-2023-07-08.log)
[nlog-all-2023-07-07.log](https://github.com/BeyondDimension/SteamTools/files/11994619/nlog-all-2023-07-07.log)
[nlog-all-2023-07-06.log](https://github.com/BeyondDimension/SteamTools/files/11994621/nlog-all-2023-07-06.log)

### 🖼 截图

### 🚑 其他信息

- 处理器体系结构：x64
- 系统版本号：Arch Linux Gnome Wayland
- 下载渠道：AUR-bin
- 程序版本：2.8.6-2
- 是否包含独立运行时：——

Start by reproducing the intermittent exit behavior on Arch Linux with GNOME Wayland using AUR-bin version 2.8.6-2, then inspect the attached nlog files for shutdown-related details. Done means exiting Steam from its system-tray icon no longer exits Watt Toolkit, with the fix verified against the reported setup.

Written by the indexing model from the issue text.