WIP: Handle Logger.exception() outside "except" block

[sscherfke]

Fixes: #634

Summary

Pull Request Check List

• [ ] Do not open pull requests from your main branch – use a separate branch!
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• [ ] Added tests for changed code.
  • The CI fails with less than 100% coverage.
• [ ] New APIs are added to our typing tests in api.py.
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[sscherfke]

I think that 0c02f29fa259c3173ed0c0b6247a093f41ac312f really fixes the problem in the right way. I added a longer description to the commit to explain why.

Let me know, what you think :)