After barracks they ask you to build 10 spears so if your mine whoring your kind of stuck there so personally i wouldnt even go for barracks till later on.
But if you choose to go for barracks and get the 10 spears
The next one is the 9/8/6 mines
Then smithy
Then 10 swords
Which is where im stuck at now but im pretty sure after that they ask you to get stable and 15/15/15 mines