Ok, so I think I figured it out and I'm probably the biggest dumbass on planet Earth for not thinking of this earlier but I think it may been connected to some outdated drivers and Lenovo software. Recently I've been trying to figure out how to update some of the stuff on my computer and once I got it all updated I've been no longer having the issue. Since then I've tried reproducing the bug with just GM and the Nogovan Republic tank as you requested and everything seems to be working fine. What I can guess happened is that the outdated Lenovo software was causing random memory corruption whenever particular actions in Arma 3 wouldn't get along with the Lenovo software and crash the game. For some things it was more than others, like vehicles in GM that could customize the logo they had on the side would seemingly crash the game as well. Everything should be fine now but if there is anything that can be taken from this is that outdated Lenovo software doesn't like Arma 3 that much. Thank you for your time! I hope this helps provide some good information for any future issues similar to this one!

Just had another access violation with a different mod list. This one also includes Global Mobilization so there might be an issue there.

1. Load up Arma 3 with the mod list.
2. Go into 3DEN editor
3. Place an APC, Tank or Ural truck from the Nogovan Republic into the game.
4. Status Access Violation