This might sound silly to those educated in the matters of fowls... but I was wondering is there any absolute reason that flying fowl eg cockatiels cannot cohabitate with chickens? Like share the same flight/run yet have their separate 'night' areas. I have four cockatiels and would love to create a flight for them. But also would like to have a couple of egg laying chickens. My garden space is not huge, so I have to think carefully and plan wisely. Look forward to your input.