The insert failed. It conflicted with an identity range check constraint

Taiyeb Zakir Microsoft SQL Server Escalation Support Services When replicating identity columns https://docs.microsoft.com/en-us/sql/relational-databases/replication/publish/replicate-identity-columns  and using Auto Identity management, you need to make sure ranges are defined properly. The default “ranges” for automatic identity range management, while good 20 years ago, may need to be tuned for today’s higher workloads.

Inside Distribution Cleanup Watermark

The Distribution database is a cache of undistributed commands that the Distribution SQL Agent jobs are responsible to deliver to their subscribers.  This cache is populated by the Publisher LogReader Agent job as new data changes are detected. The primary tables holding the cache of undistributed data is MSrepl_transactions and MSrepl_commands.