Understanding Team plan

Hi all 
Since the community answers so fast and on-point, I hereby present another confusion :) 

I have recently purchased team license. 

I concluded that the Team Program suits our company well.

However, I might have understood things a bit differently.

I presumed I can have 8 “teams” – meaning 8 segregated teams on the left bar. To each, I can open project, and within them – boards.

However, when I try to open a new team, I get prompted to upgrade my license – although of course, I already have it. 

Did I get the plan wrong? Why can’t I add teams after 2? And if these are not “teams” – did I get the videos wrong ?

Thanks for your time, dear community! 
Eyal