As discussed from the SWA syncs, dab engine should honor the database name passed to the configuration endpoint from SWA -> Phoenix -> dab either as part of the connection string or a separate parameter. The database name in the runtime config should be ignored.
This is for cosmos db only.
For other databases, the connection string passed from SWA already takes precedence and the one in the runtime config is ignored. That connection string has the database name in it for all other databases.