1. Install AAPG on Linux using the native Steam Linux client
2. Once installed, attempt to play it, and allow for punkbuster and additional software to install(may not be necessary but is what I did) if the AAPG Launcher starts after install, just close it out.
3. Install Lutris
4. Manually add AAPG to Lutris as a Wine application(using the wine runner). 
a. Set the executable to the AAPG 32bit binary(AAGame.exe) from the AAPG steam install folder.
b. Set the wine version to proton 3.16(others may work as well), save and play!

The game should start and take you to the AAPG login screen. Leave Steam client running through out this process and game play. Please provide any feedback to help others. 

edit...these steps assume that winetricks and wine is installed and correctly configured. My working configuration uses microsoft .net 4.0 and latest vulkan release. Make sure you do not install mono or uninstall it if it is installed. I was not able to get this working using mono. 

 

Make sure you have vulkan drivers and DXVK installed(via your software package manager) if you are going to enable it on Lutris, most games are working best with these options.

 

Below are several pics on the settings and results, there are a few graphic issues on the login screen, main menu and a few maps. Type "winecfg" in your cli to get to the Wine configuration, and "winetricks" to install dlls

 

The last screen is from the Lutris show log feature, just right click on the game icon and select show log.