I added 5 styles of Adobe Garamond fonts at fonts.adobe.com and went back to Indesign. They weren't showing up yet so I closed Indesign and then reopened it and they weren't there. I searched help and Google and couldn't find a solution so I contacted Adobe customer support. The Adobe agent suggested the following:

"Please close Indesign and open fonts.adobe.com and then deactivate those 5 fonts and sign out from there. Sign in again and active those fonts and then open Indesign and check."

By that time the fonts had refreshed in Indesign so I didn't need to do this.

The current situation wastes time. I should be able to click a button in Indesign (or any Adobe app that uses fonts) to "refresh fonts."