chore(auth): strengthen check constraints related to auth method #9566

Job	Run time
Filter Changes	6s
integration-test (ubuntu-latest)	5m 6s
Tox	0s
Lint Phoenix	7m 59s
integration-test (windows-latest)	3m 12s
Test Phoenix (macos-12, 3.8)	16m 20s
integration-test (windows-2019)	3m 27s
Test Phoenix (windows-latest, 3.8)	10m 36s
integration-test (macos-12)	6m 8s
Test Phoenix (ubuntu-latest, 3.8)	7m 11s
	1h 0m 5s

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