How to hide the delete button from the header row on the person profile competency template?

Summary: Hide the delete button from the users on the person profile page

Content (required): I am using a custom competency template with behaviors. I would like to hide the delete button, but would like to keep the users' edit access to be able to rate competencies. I use page composer, and add EL Expression. This is working, until there are no behaviors attached to the competency. However, when behaviors are attached, the buttons are moving to the top row, where I am not able to find the delete action listener. I can see cancel, save, done, but not delete.