logging: add new TRACE level

[9999years]

Description

This helps minimize some log spam, although there's no way to activate the new TRACE level at the moment.

To Do

• Documentation. (If you've added a new command-line flag, for example, find the appropriate page under docs/ to describe it.)
• Changelog. (Add an entry to docs/changelog.rst to the bottom of one of the lists near the top of the document.)
• Tests. (Very much encouraged but not strictly required.)

[github-actions]

Thank you for the PR! The changelog has not been updated, so here is a friendly reminder to check if you need to add an entry.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 63.73%. Comparing base (0fec858) to head (ef6ce9e).

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[9999years]

Closing in favor of #5897