You do not get guarantees with living animals. Under what appear to be identical circumstances you can get different results. I don't know what that specific cat will do under your circumstances.
For thousands of years farmers have had free ranging flocks of chickens hatching and raising baby chicks and keeping free roaming cats (basically feral) to help with rodents. The baby chicks are generally more appealing to a cat than the adults. What typically happens is that the cat leaves them alone to start with. But if a cat shows an interest in hunting a baby chick the mama hen usually adjusts its thinking. She defends her babies.
If you get baby chicks I would protect them from the cat until they grow. Once they reach close to adult size they will probably be safe. The larger the chickens the more likely they are to be safe.
You may notice I use a lot of "weasel words" like more likely, generally, typically, and such. I cannot give you any guarantees as to what any living animal will do. In your circumstances I'd avoid bantams and expect success.
Which breed to get? We all have our own personal favorites but my goals are different from yours. My suggestion is to go through "Henderson's Breed Chart"
Henderson's Handy Dandy Chicken Chart (sagehenfarmlodi.com)
and select something that you think suits you. These are just one person's opinion on the different breeds. Each individual has its own personality and can vary from breed tendencies dramatically but I don't have anything better to offer. Just like a human, two individual chickens can vary a lot even if they are the same "breed" or even raised together.