Also, here are some of the problems that can occur if you recreate the arbitration mailbox:
The arbitration mailbox may be unable to replicate the other Exchange servers in the organization.
The arbitration mailbox may not be able to perform its functions properly.
The arbitration mailbox may become corrupted.
Therefore, moving the arbitration mailbox to the new Exchange server is best as part of the migration process.
For more insight - https://hackersonlineclub.com/how-to-move-arbitration-mailboxes-in-exchange-server/
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