Record date precision in processing logs

[fyulita]

Summary

Add time precision (minutes, seconds, recovered seconds) for which the timestamp and filename are written.

Related Issue

Validation

Describe how this change was tested. Include automated tests and any small sample workflow used.

• python -m pytest -q passes locally
• I tested changed behavior on disposable or copied sample media, if applicable
• I updated documentation when user-visible behavior changed

Processing Impact

Check every area affected by this change:

• Filename or destination-path behavior
• Metadata reading or writing
• Sidecars or Apple Live Photo pairing
• CSV/TXT logs, checkpointing, or --resume-csv
• Windows-only behavior or cross-platform compatibility
• Packaging or command-line interface
• None of the above

Privacy And Safety

• This pull request does not include personal media files, generated logs, private paths, or unredacted sensitive metadata.