thanks for the update, @Emile Dawkins
Check this out as a possible soution to your scenario. This solution uses Azure Logic Apps integration to customize Log alert management via Action groups.
You may also find this reference on using SMTP to send mail via Logic Apps useful.
Also note, Azure log alerts are designed to be stateless and only fire when the preset conditions are met. this means fired alerts do not resolve but can be manually closed via the Azure management Portal.