Follow-up of https://github.com/zed-industries/zed/pull/46695

cargo outputs to stderr, so if we do not inherit it, we do not see it,
yet this can be useful to understand what broke and see the progress.
I am not sure if there was a reason to remove it, hence creating the PR
to discuss — want to add at least a comment there for the future if we
decide to keep things as is.

Before:

<img width="1731" height="1022" alt="before"
src="https://github.com/user-attachments/assets/92bb0969-e495-41b0-8cac-1f85a83440a0"
/>

After:
<img width="1728" height="1086" alt="after"
src="https://github.com/user-attachments/assets/c733fb8b-adbe-44dc-84a5-48e2c9e63a38"
/>

Release Notes:

- N/A