I solved my own problem, I think, by way of:
It wasn’t obvious to me to look under the “Refresh AI assistant” on-click option for the Button and see that it had the “column or block” option here. When I found the “Refresh AI assistant” option under automations, it didn’t have “column or block”, it only had “block” so it threw me off the scent to look for the “column or block” option here.