PostgreSQL - Best way to incremental export 1000+ tables every 5 mins

I have 6 PostgreSQL database servers(v11) hosted on some third-party vendor. I don't have access to setup pg_logical. Each server has 1 database but 1000+ tables. So I want to get the data from these 6 servers to my central PostgreSQL database. The sources tables are having PK and last_updated_timestamp columns. Im just trying to find the best approach to get the data at every 5 or 15mins interval from these tables to my central database server. My goal is to sync the whole database to Report database server with every5mins interval.