[stable31] fix(settings): Improve mail test error handling and logging #36350

Job	Run time
changes	7s
integration-sqlite (filesdrop_features, 8.1, stable31, stable31)	1m 48s
integration-sqlite (dav_features, 8.1, stable31, stable31)	6m 43s
integration-sqlite (file_conversions, 8.1, stable31, stable31)	2m 28s
integration-sqlite (collaboration_features, 8.1, stable31, stable31)	2m 57s
integration-sqlite (features, 8.1, stable31, stable31)	9m 37s
integration-sqlite (openldap_features, 8.1, stable31, stable31)	2m 40s
integration-sqlite (openldap_numerical_features, 8.1, stable31, stable31)	2m 3s
integration-sqlite (sharees_features, 8.1, stable31, stable31)	5m 55s
integration-sqlite (files_reminders, 8.1, stable31, stable31)	1m 50s
integration-sqlite (capabilities_features, 8.1, stable31, stable31)	2m 3s
integration-sqlite (remoteapi_features, 8.1, stable31, stable31)	2m 23s
integration-sqlite (--tags ~@large files_features, 8.1, stable31, stable31)	11m 1s
integration-sqlite (ldap_features, 8.1, stable31, stable31)	1m 34s
integration-sqlite (federation_features, 8.1, stable31, stable31)	4m 31s
integration-sqlite (comments_features, 8.1, stable31, stable31)	3m 18s
integration-sqlite (theming_features, 8.1, stable31, stable31)	2m 25s
integration-sqlite (sharing_features, 8.1, stable31, stable31)	13m 41s
integration-sqlite (videoverification_features, 8.1, stable31, stable31)	4m 53s
integration-sqlite (setup_features, 8.1, stable31, stable31)	1m 29s
integration-sqlite-summary	8s
	1h 23m 34s

Provide feedback