https://www.backyardchickens.com/threads/reasons-why-you-shouldnt-keep-just-one-goose.1220102/
As someone who has actually kept a single Tufted Roman with chickens, I don't recommend it. You really need to have at least two geese. The thread above is why.
Yes, you can house your geese with chickens. They do need at least water deep enough to dunk their entire heads in, and far more preferably swimming water, like a pool or pond. They are primarily grass eaters, so letting them out to graze is very good for them and they enjoy it. However, they do fine eating regular poultry feed. It doesn't need to be wet, but they do need water to wash it down, of course.
Geese can be noisy, especially some breeds like Chinese. Mostly though, they are loud only when they see something and are alerting about it. Like a predator, or if they see their keeper coming to feed them, or they see a stranger, etc etc.
But that brings me to my next point, which is that geese do not protect chickens. They will alert to danger and warn them, but that's it. They won't go fighting a predator to protect the chickens. Their size and presence may discourage a predator from attacking when it otherwise would if the geese weren't present, but the geese aren't going to go after a predator if it does attack. I've lost chickens to hawks even with my geese around. Goose 'protection' is basically them alerting if they see danger, and their size being a deterrent. For true flock protection, you need to get something like an LGD.
Geese are awesome and I love mine, but if your only reason for getting them would be as flock protectors, you might want to pass on them