Please persist saved dev tools settings to device

I don't want to reset all my settings in dev tools, please save them in the browsers' database or something like that thx.
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**DevTools version**: 2.28.4
**IDE**: VSCode
**Connected Device**:
CPU / OS: x64 (64 bit) windows
Connected app type: Flutter native (debug build)
Dart Version: 3.2.3
Flutter Version: 3.16.5 / stable
Framework / Engine: 78666c8dc5 / 3f3e560236

从 issue 描述开始，确定设备或会话重置时当前会丢失哪些 DevTools 设置。检查现有的设置和持久化入口，然后将完成标准定义为：已保存的设置在相关的重启或重新连接场景中仍然保留；该 issue 未指定文件或测试。

由索引模型根据 Issue 内容生成。