docs: Audit and improve documentation

[Snider]

This change introduces a comprehensive documentation audit and adds new documentation to address the identified gaps. It includes an architecture overview, a user-focused FAQ, and a troubleshooting guide to improve the completeness and usability of the project's documentation.

Fixes #18

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PR created automatically by Jules for task 10266431462100841349 started by @Snider

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Codecov Report

✅ All modified and coverable lines are covered by tests.

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