Expose programmatic access to logger names used in Engine

We use a few different loggers in Engine to provide task tracing. Right now there is no way to get the names programmatically - we should fix that.

Start by locating the Engine logger declarations and usages in the repository and determine how task tracing currently names them. Define the programmatic access needed from the existing behavior, then add coverage showing that all Engine logger names can be retrieved and remain consistent.

Written by the indexing model from the issue text.