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Check that the action group for your alert rule is set up correctly. Since you're getting test emails, make sure the action group is linked to the right alert rule and hasn't been changed or turned off by mistake.
Check that your Azure account has the required permissions to trigger alerts and send notifications. If you're using a service principal or managed identity, make sure it has the correct roles assigned.
Since the alert condition is met in Log Analytics, make sure the query correctly matches your function's failure. You can run the query in Log Analytics to check if it gives the right results.
Check the health of your Azure Function App. If the function isn't running or is having issues, it may stop the alert from triggering.
Sometimes, triggers may not register correctly after changes or deployments. Resyncing them can make sure they are properly registered with Azure. You can do this using PowerShell or Azure CLI.
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