Currently Microsoft SQL Server Always Distributed Availability Groups does not support one global listener for the entire distributed AG. Replication in an Availability Group is currently is configured using a single Listener. Until either Distributed AGs support a single Listener or Replication support multiple Listeners, Distributed AG and Replication environments are not compatible. As improvements are made and technologies evolve, I believe one day we’ll overcome these limitations.
If the goal is to move data to a distributed environment, consider using a Replication Re-Publisher topology or simply have remote replica as Subscribers.
Another option is to move the entire solution to Azure SQL DB distributed cloud-based solution providing both scale-out and scale-up capabilities.
Microsoft SQL Escalation Services