HA 3-Node Postgres cluster on VMs with Repmgr

We are considering a 3-node Postgres setup where 1-master and 2-standby with replication and master failover handled by repmgr and connection pooling with Pgbouncer. Is there a way to let our application too automatically connect to the newly elected master? I dont see that happening with Pgbouncer or did I miss something? We always need our app to connect to the master db node.