Also, kindly share the crash report by following the steps shared in this help article (https://helpx.adobe.com/illustrator/kb/crash-next-steps.html). While submitting the report, kindly use the same email account used here in the community so we can locate it quickly.
rename Adobe Illustrator 27 to Adobe Illustrator 27old
OOBE RESET MAC
Quit the Creative Cloud desktop app (100% you must do this)
The \Users\<user folder>\Library\ is hidden by default for macOS 10.7 and above. Option click on the GO in the mac finder to reveal the Library folder.