I'm glad that you were able to resolve your issue and thank you for posting your solution so that others experiencing the same thing can easily reference this! Since the Microsoft Q&A community has a policy that "The question author cannot accept their own answer. They can only accept answers by others ", I'll repost your solution in case you'd like to "Accept " the answer.
Issue: getting 401 unauthorized when trying to send event to eventhub using logic apps managed identity.
Solution:
Customer has added the action for "send event" added an event hub connection string, the issue was they had added the connection string of the specific event hub instead of the event hub name space (should not include entity error massage).
If you have any other questions or are still running into more issues, please let me know. Thank you again for your time and patience throughout this issue.
Please remember to "Accept Answer" if any answer/reply helped, so that others in the community facing similar issues can easily find the solution.