Trigger pin walking out advice

The trigger pin on this home cut 80% is walking out when playing with the trigger, I may also have milled the pocket walls too thin which could be accounting for the problem, any suggestions? Could a drop in trigger possibly relieve some of the lateral walking movement?

The trigger pin on this home cut 80% is walking out when playing with the trigger, I may also have milled the pocket walls too thin which could be accounting for the problem, any suggestions? Could a drop in trigger possibly relieve some of the lateral walking movement?