Sounds like one group of 10-week-olds and one group aged 14 weeks. That's not a lot of extra room for that many birds, especially outside, but I think you have a decent chance.
I'd try it, the sooner the better, but on a day you can observe them. Others will have different opinions but I'd set it up with three food and water stations, one inside the coop and two in opposite corners outside so they can all eat without being bullied. That run is small enough that I'd want something blocking line of sight between the feed and water stations outside. That might be a square bale of hay, a table or something laying on its side, whatever you have.
Personally I'd put them out fairly early so I could observe during the day. Just see what happens. I'd expect that each of the two groups will hang by themselves so don't worry about that. I can't give you any guarantees but it is quite possible your biggest problem will be getting them all in the coop to sleep at night. Hope that's the worst anyway.
My broods are usually in the range of 20 chicks. I often have to lock them in the coop at night for several nights in a row before they learn to put themselves to bed in there, even if I house them all in the coop section only for a week or more. I wait until it is dark so they are easy to catch. 24 sounds like a lot to do that but you can manage. I would not house them all in the coop section only at first since you are doing an integration and the extra room could be essential.
The first mornings after you lock them in I'd be down there at first light to see how it is going. You may need to open the pop door to let them out if it is getting active inside. If you consider the run predator proof you don't have to lock them in the coop at night. At those ages they should be able to handle your weather at night, but I would want them to be able to avoid rain.
Good luck with it. Let us know how it goes.
