feat(logs): improve output for server logs

[h3adex]

Description

This PR improves the output of server logs to make it more human readable. The screenshot shows old and new output

Checklist

• [x] Issue was linked above
• [x] Code format was applied: make fmt
• [x] Examples were added / adjusted (see e.g. here)
• [x] Docs are up-to-date: make generate-docs (will be checked by CI)
• [x] Unit tests got implemented or updated
• [x] Unit tests are passing: make test (will be checked by CI)
• [x] No linter issues: make lint (will be checked by CI)