Adjust to newer logic from zed-industries/cargo-bundle (#9058)

Zed uses a fork of cargo-bundle, that got upstream changes and
https://github.com/zed-industries/cargo-bundle/commit/9e185bd44d968d8039192220603494555afdbb4f
into the deploy branch.

Remove a TODO and adjust the script to the new packaging logic.


Release Notes:

- N/A