[Xcode 26] Theme is not applied when system is dark mode

### Before submitting a new issue

- [x] I tested using the latest version of the library, as the bug might be already fixed.
- [x] I tested using a [supported version](https://github.com/reactwg/react-native-releases/blob/main/docs/support.md) of react native.
- [x] I checked for possible duplicate issues, with possible answers.

### Bug summary

Maybe related to: https://github.com/software-mansion/react-native-screens/issues/3162

On iOS, if we have DefaultTheme we can see that bottom bar is not applying the light theme but system theme instead

On this we can see that BottomBar style is updated with no reason :

https://github.com/user-attachments/assets/27375e07-425c-4866-acdb-8a4d301403fd

### Library version

0.10.1

### Environment info

```shell
Expo 53
RN 0.79
```

### Steps to reproduce

- Xcode 26 & iOS 26 (with dark theme on system)
- Launch app from the repo
- Open profile
- See that the bottom bar does not have the right theme

### Reproducible sample code

```js
https://github.com/huextrat/repro-screens-ios
```

从链接的可复现示例开始，在系统处于深色模式时于 Xcode 26 和 iOS 26 上按照列出的步骤操作。检查在预期使用 DefaultTheme 时 BottomBar 样式发生变化的原因；当应用从个人资料屏幕启动时底部栏保持正确的浅色主题，即表示完成。

由索引模型根据 Issue 内容生成。