Problem description:
I believe theres a standalone byond execution thing for users who don't use BYOND right? How does one go about getting that feature? I know we have to be approved by admins or something..."I believe"
If your game is published (and definitely not a fan-game), you can contact Lummox about getting access to BYONDexe.
Agreed, the hub entry made it pretty clear too (and has been updated since it was originally published)