14 week old tag introduction to sun conure pair

[rope]

hi...as we will be getting our timneh african gray in may and we already have a pair of sun conures i'm wondering how to introduce them together...our sun conures fly around outside the cage for about an hour each day...we have had one our female sun conure since a youngster ..shes 7 years old...we introduced a nice male who was 4 years old a year ago...they love each other ..introducing them was about a 3 month process ...it would be really nice if we could get all three of our birds to get along...i'm hoping that because we are getting a hand fed baby that is raised around other birds this might make it easier or even possible...is it crazy to think that we might be able to let our three birds out of their cages the same time of day? thanks..