I'm using pgbouncer for connection pooling against 3 database on different servers, now I'm planning to use repmgr for replication, my question is, can I keep doing connection pooling on these 3 databases and have one of them as master replicating to the others, or I should have pgbouncer doing connection pooling on one database and have this as master replicating to the others?
My intention is have connections being distributed over databases and make use all database are up to date and returning updated data to users.