feat: set up structlog logging (#325)

This ports the logging from `logging` to `structlog`. This updates
all of the logger instantiations along with all of the places
`logging` was called. Data that was being inlined into log statements
has been broken out so that it's now structured arguments to the
log statements instead.

setup.py

@@ -76,6 +76,7 @@ setuptools.setup(
         "cryptography>=2.3",
         "python-magic>=0.4.15",
         "prometheus-client>=0.20.0",
+        "structlog>=25.1.0",
     ],
     extras_require={
         "yt-dlp": ["yt-dlp>=2024.7.25"],