Handler link floats in the space when any client handler is opened

### Bug description

This creates a feeling that something unexpected happens. Users usually do not know why this link is loaded to space.

User may expect new links to appear when some action is done, query or traveler are used. And this is a bit unexpected because opening of client handler is usually a readonly operation, it is not a modification of the state.

https://github.com/deep-foundation/deepcase/assets/1431904/c5d1254d-c767-472e-a04f-b154a3ec85cd

### Expected Behavior

No links float when client handler is opened.

### Current Behavior

When client handler is opened handler link floats in the space.

### Steps to reproduce

1. Open any client handler

### Workaround

It may be ignored.

### Environment

_No response_