Greetings !
When rebuilding an index, azure SQL database server does indeed update the associated statistics for that index. However, it’s essential to consider non-index statistics as well. You can use below stored procedure to implement the maintenance using the same which will take care of both indexing and stats.
you can configure alerts notification to Monitor runbooks with metric alerts. Please refer below documents for detailed information.
Please follow the below documents for more information.
https://learn.microsoft.com/en-us/azure/automation/automation-alert-metric
Regards
Geetha