Hi @ucsophia_4150,
Thanks for reaching out, and I’m sorry you’re running into this issue. When you mention both apps are up to date, could you please confirm if InDesign is on version 21.2 and also share which OS you’re using? I checked on my end but couldn’t find any crash report linked to your community email. If you see the Adobe crash reporter when the app crashes, please submit the report and share the email address used via DM so I can look into it. You can find more details here: https://helpx.adobe.com/indesign/kb/submit-crash-reports.html
In the meantime, please try signing out of the Creative Cloud Desktop app and then signing back in, and check if that helps stabilize placing items from CC Libraries. You can also try opening your Illustrator file directly in InDesign using File > Open and selecting the AI file, which will open the graphic without using Libraries.
If the issue still persists, please close all Adobe apps, use the Creative Cloud Cleaner Tool to remove the Creative Cloud Desktop app, CCLibrary, and CoreSync using https://adobe.ly/4mkYJCc, then reinstall the Creative Cloud Desktop app from https://adobe.ly/43fQrCS. After that, relaunch InDesign and test again.
Please let me know how it goes and share an update so we can take this further if needed.
Abhishek