Implement LS cleanup

In `@logux/client@0.21.1` localStorage may be clogged with old client identities.

<details>
<summary>
view of dev tools with localStorage
</summary>

![image](https://github.com/user-attachments/assets/bcceee16-ac62-483a-9016-46bef569a259)
</details>

Is there a way to clean up this?