Hello Tait, Mark,
Thank you for posting your query in the Microsoft Q&A Community.
I understand that you are currently having challenges with the managed identity on the copy task of your Logic app Azure Monitor action.
When you copy a task and paste it, this should retain the connection and managed identity from the original action.
However, if that isn't the case, check if there is a managed identity attached to the connection you have created. Also, check if the connection is the same
NB: When pasting, don't edit the design, just copy and paste the action
Let me know if this helps
Babafemi