Artificial Grass still being denied

In a state where water is a premium and the advancement in artificial grass is so good that you can rarely tell it is artificial until the winter months, I would think there wouldn’t be any issues installing artificial turf. However my HOA has denied my request (pictured here) because CO law says they can’t deny placement in the “rear” of the house but they don’t consider this the rear of my home. Ambiguous terms are allowing the HOA to continually play judge, jury, and executioner. This area certainly isn’t the front of my house and it can’t be seen from the road or even behind my house (and the area is completely fenced) so their point of refusal is ridiculous and merit less unless they just don’t want turf installed. They have no problem if I wish to place grass here but not artificial turf. This was designed as a play area for my grand children which keeps them separated from the firepit and pools but now I can’t do anything because of a difference of opinion on what “rear” actually means!!