Teamviewer computers only showing on one machine

i purchased the remote access license to manage a computer. I am able to see the computer when logged in to the management console on the machine that I used to log in the first time. However when I log into the management console web from my personal laptop to manage the machine, I see the the profile shows as "free" instead of "Remote access"

Now if i go into the first machine I logged into the web console from, It shows as remote access.

Question: Does teamviewer support web-management of the machine from only 1 machine/browser? if so, how can i transfer it over?

If the answer is no, meaning I can manage the machine from web console of any machine, how do i ensure the licensing is reflecting correctly on the rest of the computers i am trying to access from?

I am using the correct/same credentials to log into the web console.