On thinking about this I don’t think you need to go to SAT provideing you have enough votes to pass a motion at GM or Committee meeting to restore the common property to it’s origional state.
Once motion is passed the EC or OC would tell the offenders to remove the structures at their own cost within 14 days. If they refused or declined the EC or OC would have the structure removed and the offender would be billed the cost.
The OC are perfectly within their rights to make changes to the common property once duly authorized and this would force the offenders to go to SAT to try and stop the removal (fat chance).
If you don’t have the numbers to pass a motion my first response would apply.