Multiple keys for same trigger

I have a puppet with a few different expressions which I have organized in a swapset and controlled by triggers.

As most of us know, it's good practice to usually have the character blink as they transition into a different emotion.  My puppet is set up to blink whenever I blink into the camera.  And I can set create a trigger to set off the blink as well if I want to.

But lets say I have 5 different emotions, each set to a different trigger/key.  Is there a way to have each of those keys ALSO set off the blink cycle so that the blink is triggered whenever the emotion is changed?

Thanks for any tips!