Verify global primary replica in a SQL Server Distributed availability Group

I'm trying to write a script for a SQL Agent job. As part of this, the first thing I need the job to do is to test for the global primary replica, for which I have come up with the following code: select * from sys.dm_hadr_availability_group_states where primary_replica like '%_AG1' and primary_recovery_health = 1 All our DAG global primary replicas are always xx_AG1 Does anyone see any situation where the above code will not uniquely select my healthy global primary please? thank you