I'm running Windows 11 Pro Version 21H2, via Windows Insider Beta Channel. After connecting a remote PC using LogMein Client, it immediately disconnects and then attempts to reconnect. I reconnects and then disconnects. and tries to reconnect. Sometimes it reconnects, sometimes it gives up on trying to reconnect. If I the restart LogMeIn client, the cycle repeats. After about 5 minutes of this cycle, the connection become stable and works normally.
This behavior has been the same on connections to 3 other remote PCs. When using a Windows 10 PC, I have no trouble maintaining a stable connections with these same 3 remote PCs
It appears to be working for me now with Windows 11 build 22463.1000. So Microsoft must have done something on their end. As I also noticed it used to not work from a Windows 10 VM on Windows 11 host.