We need more details on 6. This is the hard part, like you swap connection from A to B, but if B is not synced properly and you write to it then you start having diff between the two and there is no way back.

Like B is slightly out of date ( replication wise ) the service modify something, then A comes with change that modify the same data that you just wrote.

How do you ensure that B is up to date without stopping write to A ( no downtime ).

Not sure how they do it, but I would do it like so:

Have old database be master. Let new be a slave. Load in latest db dump, may take as long as it wants.

Then start replication and catch up on the delay.

You would need, depending on the db type, a load balancer/failover manager. PgBouncer and PgPoolII come to mind, but MySQL has some as well. Let that connect to the master and slave, connect the application to the database through that layer.

Then trigger a failover. That should be it.