Hey @LordElrond82
According to Section 1 part 9 of the software terms of use, it states:
"Single Use License" means a license that allows Licensee to permit a single authorized end user to install and use the Product on a single computer for use by that end user on the computer on which the Product is installed.
Licensee may permit the single authorized end user to install a second copy for end user's exclusive use on a second computer as long as only one (1) copy of Product is in use at any time. No other end user may use Product under the same license at the same time for any other purpose"
So in your use case you would be able to install it on two total computers as long as the second copy is exclusively for you and you are using them one at a time.
https://www.esri.com/content/dam/esrisites/en-us/media/legal/ma-translations-2016-07/english.pdf
Cody