This sounds like it is some sort of covenant to keep the development dog free.I am not a legal person , but wonder how enforceable this would be.
Had a similar thing a few years ago with a Wimpy house, it was stated that all doors and windows had to be white , and that no fences or walls were to be erected , where the property bordered the pavement.After about a year everyone seemed to do their own thing, doors and windows were painted in colours other than white, I did mine dark green.Low walls to edge the properties were erected and so on. No action was taken by wimpy against any of us ,no correspondence arrived telling us that we had been naughty.
So I think the restriction placed upon you is pretty well unenforceable.
It may be that other Abers more knowledgeable than myself would be able to help more.
But for me I would take the risk and if I wanted a dog in my home I would have one.