Escalation Die as effect

Hello! Something that has come up that would be great to know. Is there a way to add the escalation die's value into a status effect coding? That is, if there were to be an ability that were to add the escalation die to AC, is there a way to do that and include the updated value each turn?

Thanks for any insight! :)

I'm curious to know as well! Hopefully somebody can enlighten us. ^_^