Business Rules deployment: «Database associated with deployment driver does not match the database ":" specified during product configuration»

If you ever see this dreaded error message, don't fear!
First, follow each and every step suggested here: SOLVED: The BizTalk Rules Engine Deployment Riddle.
If it still doesn't work, then find the following tables in your BizTalkMgmtDb: adm_Group, adm_OtherDatabases and adm_OtherBackupDatabases.
In the first, fill the columns RuleEngineDbServerName and RuleEngineDbName.
In the other two, add a new line with the DefaultDatabaseName = RuleEngine DB, and the other columns with your installation-specific information.
Et voilá!