Adjust authentication for Fedora and Github

[Zlopez]

The response is different for each backend, we need to reflect that.

[softwarefactory-project-zuul]

Build failed. More information on how to proceed and troubleshoot errors available at https://fedoraproject.org/wiki/Zuul-based-ci
https://fedora.softwarefactory-project.io/zuul/buildset/48efb6be0aab4b0a902e5b2df6e663f1

✔️ fi-tox-mypy SUCCESS in 4m 57s
✔️ fi-tox-lint SUCCESS in 5m 03s
❌ fi-tox-format FAILURE in 4m 45s
✔️ fi-tox-python310 SUCCESS in 7m 58s
✔️ fi-tox-python311 SUCCESS in 7m 50s
✔️ fi-tox-python312 SUCCESS in 8m 40s
✔️ fi-tox-docs SUCCESS in 5m 15s
✔️ fi-tox-bandit SUCCESS in 5m 09s
✔️ fi-tox-diff-cover SUCCESS in 9m 12s

[softwarefactory-project-zuul]

Build succeeded.
https://fedora.softwarefactory-project.io/zuul/buildset/4b462dc2410d4958be8d988022f6b0b9

✔️ fi-tox-mypy SUCCESS in 4m 27s
✔️ fi-tox-lint SUCCESS in 4m 56s
✔️ fi-tox-format SUCCESS in 4m 52s
✔️ fi-tox-python310 SUCCESS in 7m 11s
✔️ fi-tox-python311 SUCCESS in 7m 38s
✔️ fi-tox-python312 SUCCESS in 8m 06s
✔️ fi-tox-docs SUCCESS in 4m 54s
✔️ fi-tox-bandit SUCCESS in 4m 48s
✔️ fi-tox-diff-cover SUCCESS in 8m 49s