You haven't told us about your system: Please tell us what operating system (exactly) you're running. Please tell us (exactly) what InDesign version you're using.
Here are a couple things to try:
(1) If you're using InDesign 2021 (or the last update of InDesign), you can turn on Preference to have Adobe Fonts auto-activated. That is helpful if you're opening files from other people who have activated Adobe Fonts that you don't have open. It's found in File Handling Preferences:

(2) If I'm going to be needing a number of Adobe Fonts available (like a font family or two), I find it easiest to control font opening from the latest version of the Creative Cloud Desktop app.
Look for the Font icon toward the bottom left of the large panel where it says Manage Fonts. When you click it, you can see your current list of activated fonts. You also have a Add fonts to Creative Cloud button which opens fonts.adobe.font where you can search and activate more fonts.

(3) You can add fonts within InDesign but the interface is crowded and confusing. I also don't find it as reliable. You go to the Font menu and click the Find More link which shows you fonts families you can activate.
