I've examined your vmware.log file. The following entry occurs just before the crash of the vmware process for your virtual machine (this is the cause IMO of the "pipe connection has been broken" error)
2022-07-21T05:35:20.053Z In(05) mks FILE: File_CreateDirectoryHierarchyEx: Failure on '/tmp/vmware-Caroline'. Error = 13
2022-07-21T05:35:20.053Z Wa(03) mks MKSControlMgr: Unable to Create folder /tmp/vmware-Caroline/mksctrl.
The "error 13" message here is saying permission is denied for creation of the file /tmp/vmware-Caroline/mksctrl
/tmp is linked to /private/tmp. Please check the permissions of the /private/tmp folder. They should be
ls -al /private/tmp
drwxrwxrwt 30 root wheel 960 Jul 21 11:04 tmp
(permissions 1777 or rwxrwxrwt, owner root, group wheel)
If there's a directory of vmware-Caroline in /tmp, please make sure it's deleted before trying to restart Fusion.
I remember you posting something similar about privilege issues on /private/var/tmp directory a few days ago. Is this the same Mac? If so, I don't believe it's a coincidence that there are permissions issue in the /private directory hierarchy once again. I suspect that something or someone has changed the permissions from their default values. Because other permissions may be changed from their defaults (which means other problems or flaky behavior is waiting to happen), you might want to check that entire /private directory hierarchy against a cleanly installed Mac to see if there are other deviations from default permissions.
At the worst if too much has changed, you might want to consider a full clean install of macOS on this Mac, reinstall applications, and only import home directories from a backup.