I just wanted to follow up on this, should someone else come across the same problem.
I used the “Shortcodes Ultimate” plugin to hold the amr-events list within tabs, with each tab corresponding to a different timezone. After fixing up the css to make each tab look the same, I made a simple javascript function that adds the correct timezone code (e.g. EDT, CEST, AEST) for each tab.
I think it’s a very aesthetic way of displaying the same event date within different timezones.