You say "open for everybody to use". Both open source licenses and free/libre licences guarantee that the software is open for use. You're actually talking about freedom to combine with closed source/proprietary software, not about end-users freedom to use the software.
AGPL is an open source license, according to OSI, the only authority on what constitutes open source. https://opensource.org/licenses/AGPL-3.0
You say "open for everybody to use". Both open source licenses and free/libre licences guarantee that the software is open for use. You're actually talking about freedom to combine with closed source/proprietary software, not about end-users freedom to use the software.