Lit slider - value not updating

### Summary
The Lit slider component does not update its value when the slider is moved.

### Expected behavior
Dragging the slider should emit updates and reflect the new value visibly.

### Reproduction
1. Render a slider with a path to data
2. Move the slider
3. Observe that the value does not change / no update is emitted

在代码库中查找 Lit slider 组件，可能位于类似 `src/components/slider/` 的目录中。检查该组件的事件处理和属性绑定逻辑。在开发环境中运行复现步骤以确认 bug，然后追踪为什么 value 更新没有被发出或反映出来。

由索引模型根据 Issue 内容生成。