Action - Save and Edit Record guidance

Summary:

I'm trying to develop a new action. The Groovy script works great. Problem is the Address area of the UI that I'm updating doesn't refresh. I'm hoping set the Action to "Save and edit the record" would force the record to save and refresh the UI. But now I can't add the action to the UI anymore.

Content (required):

I have a Groovy script written that re-synchronizes the contact address with the contact address. Works perfectly. I'm trying to bind the script to an Action. Currently I have the "After the Script Runs" set to Do not save the record". What I'm noticing is when I click the button, the script runs fine and updates the record. But the address area of the UI doesn't refresh showing the changes.