
Hello Robert,
My name is Edxxxxxxx and I’m a Technical Support Engineer with Google Workspace. I understand that you would like to know if you could customize your Task's menu.
Upon further investigation, it is expected that the pending tasks cannot be removed, it actually can stay as a valid pending task for up to 5 years as stated in this Help Center article. I understand that this might not be ideal and aesthetically unpleasant to see. A Feature Request has been submitted for this behavior in specific, however, we don't have an ETA as to when it will be addressed.
I do agree having the option to remove certain pending tasks from your Admin console could be a great feature due to its usefulness, Google is a company that takes your feedback into consideration and we would like to hear this Feature Idea from you, in our Feature Ideas Community Forum. You can submit this idea and other users can up vote it, and our Google Developers review these ideas periodically to check implementation options and or enhancements to our Google Workspace systems. This is our Help Center article with details on how to submit Feature Ideas.
I hope that you find this information helpful, I'll keep this case open for the next three (3) business days so you can let me know if additional assistance is needed or have any other questions or concerns. Once the case closes, you can reply in the next thirty (30) days to reopen it. If you would like for me to close your case, please let me know.
Warm Regards,
Edxxxxxxx
Google Workspace Technical Support Engineer