Eventually found solution (implemented today in Prod)- may be somebody will also use it:-)

1) put DB in Restricted_User mode;

2) break mirror- on Mirror side DB will be in Restoring state

3) copy/bring DB online on new Cluster server (node1)

4) do whatever needs to be done to setup DB on new Cluster server (Multi_User/Node2/failover/etc)

5) back to mirror setup- Restricted _User again/ take TrLog backup

6) restore on Mirror all (after move) TrLog backups with NoRecovery

7) reconfigure Mirror

We saved around 10h of limited time avoiding new Full backup on Principal/restore on Mirror