DepClean execution doesn't show the logs from the backend to the textarea in the frontend

We want to report on the status of the analysis step by step. This will allow the user to see the progress in real-time.

Start by tracing the DepClean analysis flow between the backend and frontend, focusing on how backend logs reach the frontend textarea. Check how the analysis step is currently launched and how the textarea is updated. Done means users can see analysis status progressively in real time rather than only after execution finishes.

Written by the indexing model from the issue text.