The vanilla package can replicate to or from MySQL via binlog replication. But since it's memory only, that's probably not what you want. You probably want to supply the library a backend with persistence, not the built-in memory-only one
Dolt can do the same two directions of MySQL binlog replication, and also has its own native replication options:
Dolt can do the same two directions of MySQL binlog replication, and also has its own native replication options:
https://docs.dolthub.com/sql-reference/server/replication