EULAs are largely a farce but in theory you have to accept the EULA to accept the software. As far as I know GPL/AGPL comes in at a different point entirely.

Please research what the "L" in "GPL" means.

http://www.gnu.org/licenses/gpl-3.0.html

Software is protected by copyright by default, meaning you can't make a copy. A license is a limited waiver of copyright that grants permission to make a copy, if the conditions of the license are met.

You're not the one making a copy when you're just accepting the software to run.