Update classes to use LoggerMixin

[jonathangreen]

Description

Update a few classes to use LoggerMixin, so we get logger names that are formatted consistently.

Motivation and Context

While working on PP-1225, I needed to enable and disable some loggers at debug log level, and these inconsistently named logging classes were causing me some issues.

How Has This Been Tested?

• Running locally

Checklist

• I have updated the documentation accordingly.
• All new and existing tests passed.

[codecov]

Codecov Report

Attention: Patch coverage is 88.09524% with 5 lines in your changes are missing coverage. Please review.

Project coverage is 90.10%. Comparing base (7f01ee6) to head (b9ceba8).
Report is 1 commits behind head on main.

Files	Patch %	Lines
src/palace/manager/sqlalchemy/model/work.py	58.33%	5 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1838      +/-   ##
==========================================
- Coverage   90.10%   90.10%   -0.01%     
==========================================
  Files         299      299              
  Lines       39530    39519      -11     
  Branches     8585     8583       -2     
==========================================
- Hits        35619    35609      -10     
+ Misses       2590     2589       -1     
  Partials     1321     1321              

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[tdilauro]

Looks good! 🪵