First, remove the door panel, leaving the screw that is in the armrest pocket, so the plastic tab that is broken off doesn't get lost.
Once the door panel is off, remove the armrest/door pull so it is easier to work with. There are four T-20 screws.
Then set the door panel aside, or use it as a work suface if you don't have a table to work from.
Next use some plastic repair epoxy available at most hardware stores/retail. Glue the plastic part (that you left screwed to the door), back onto the bottom of the pull. Let it cure.
Then for reinforcement, as I'm sure the epoxy won't hold it too well, get a fender washer, and drill some holes in it.
Then place it over the hole for the screw. I mixed more epoxy, and applied it to the washer.
Then I carefully drilled the plastic below the holes in the washer, making sure not to drill through the rubber layer that is the bottom of your door pull.
I used 3/16" rivets that are about 3/4" long, and riveted it into place.
Then reinstall the armrest onto the door panel.
This works very well. The door pull feels very solid when closing the door. Maybe better than it did before it broke.
I still need to do the passenger side, so if there are some questions, possiblt I can address them when I do that side. Mother Nature wasn't being helpful, so I only finished one side.
