I've faced the same issue, but i solved.

Issue:

SSPI handshake failed with error code 0x8009030c, state 14 while establishing a connection with integrated security; the connection has been closed. Reason:...

Yes we can shrink the log File on HA (cluster)

Backup log <<dbname>> to disk=’NUL:’

DBCC shrinkfile(<<dblogname>>,10);

DBCC shrinkfile(<<dblogname>>,EmptyFile);

DBCC loginfo

Regards

Mubashir

If your ans (Yes) about shrink log on HA

1. What sql command to used when HA is online on multiple cluster node

2. Recovery mode is FULL, Log file grow...