It's sad to write this kind of a review.
Z hotel and their restaurants were very rude to us.
Toward the end of our trip we stopped by the restaurants in order to eat a nice meal (they do have a great location and good sunset view) and use skype to connect with my wife's parents and tell them about our adventures.
Unfortunately both the front desk staff and wait staff told us that even paying diners would not have access to the internet, that it is only for people staying at the hotel.
I figured us having dinner (paying them!) and using the internet for an hour would be a good ideal for them as we would be paying customers. However no, we were informed that is not how they operate.
May I recommend dining at another restaurant as the ones right next door will give you free internet with dinner and treat you as a proper guest.