The AGPLv3 is one of the strongest copyleft licenses that exist.
The AGPLv3 license (without additional permissions of Section 7) applies to all libraries and software statically and dynamically linked to AGPLv3-licensed software, except System Libraries. It applies to the source code, build scripts and signing keys (for Secure Boot).
This means that if your code is linked to AGPLv3-licensed software, then this whole combination is subject to the conditions of AGPLv3.
Anyone receiving binaries of this combination and/or anyone interacting with this combination of software through a computer network like the Internet, has the right to obtain the full source code (the Corresponding Source) of the combination, as AGPLv3 downstream licensees.
As AGPLv3 downstream licensees, they can then use, modify, distribute (like putting it in a public GitHub repo), make it interactive over a computer network and/or sell this combination, again subject to the conditions of the AGPLv3.
So, in effect, your code too becomes licensed under AGPLv3. It becomes open source software.
The only chance your code can escape this is if it is not linked to AGPLv3-licensed software and it communicates with AGPLv3-licensed software solely through inter-process communication methods like TCP.