/skills command should not be awaited

### Describe the bug

When using commands for configuring the client, I feels that those should not depend on the agent current work. I should be able to change my model, configure skills, do some stuff that would be picked up in the next iteration without having to wait the answer.

### Affected version

_No response_

### Steps to reproduce the behavior

_No response_

### Expected behavior

_No response_

### Additional context

_No response_

Start by tracing the /skills command handling in the CLI and how configuration commands are awaited. Verify that /skills returns without waiting for the current agent work and that the updated configuration is used in the next iteration; the issue provides no file or test names.

Written by the indexing model from the issue text.