Inform when a parition process exits

If the partition lacks the calls to install a logging facility, no information is being given if the process exits or panics. This should be fixed. Potentially an `info` during a clean exit and a `warn` during a panic.

Start by locating the partition process exit and panic handling, then check how the logging facility is installed or omitted. Done means a clean exit emits an info message and a panic emits a warning even when the partition lacks logging calls; verify both paths with the project's existing tests or runtime checks.

Written by the indexing model from the issue text.