How to make Typekit fonts appear in InDesign?

I have an Adobe Cloud account (free version), and a Typekit account (Performance Plan version that I've paid $99 for).  I login to both accounts with the same user ID and password.  I click "Sync" on the font that I want to use in Typekit, and it appears that it is synced.  But, it simply will not appear in my available fonts in InDesign.  When I open a file that has previously used these fonts, it will not find them or make them available to use.  Suggestions?