Read the End Users License Agreement (EULA). When you pay a reduced price for an upgrade license, instead of paying full price for a retail license, the upgrade license that you get retains the same properties as the license the upgrade was based on. Since the original license was OEM Windows 7, the resulting Windows 8 upgrade license would be OEM as well - thus only valid on the computer on which it was installed. Then the following upgrade to Windows 10 would also remain an OEM license.
This is where it gets confusing. What are you wanting to do with the studio computer? Since it seems like it was originally built with a Windows 7 OEM license (if I am reading this correctly) than the Windows software that is on that computer stays with the computer - Windows 7 upgraded to Windows 8 upgraded to Windows 10 - unless you purchased a new full retail license, the original OEM license remains an OEM license through the upgrades.