@Ramanan Raghunathan (Admin) Welcome to Microsoft Q & A Community Forum. As far as I know , it's not possible to send Azure Dashboard as email attachment automatically. As of right now, you can only upload/download Azure dashboards in JSON format to programmatically create dashboards, or you can create a dashboard and publish/ share your dashboard(s).
Also, you can download the Azure Dashboard in pdf format by clicking on Export -> Print -> Save as PDF. You can save these downloaded PDF at some location and use Azure Logic App to trigger an email.
I would also recommend to provide this product feedback here so that responsible Azure team can take your feedback into consideration.