Hello, I have problems with Indesign 2020 and 2021. I'm using iMac (27-inch, Late 2012) Mac OS Catalina 10.15.7. Indesign won't launch, the icon appears in the dock and is jumping for a while but then nothing happens, (application not responding). The latest versions of photoshop and illustrator are working ok.
Maybe uninstall InDesign, using the drop-down menu in the Creative Cloud app and then reinstalling. If that doesn't resolve the issue try using the Adobe Cleaner Tool.