I think they nest in pairs, so there would likely be plenty of room.

I understand that they are defensively territorial, and unpleasant when nesting near people.

"The young will double in size in a day and a half. Making them one of the fastest growing vertebrate in the world...

"In another study, Pigeons were able to recognize themselves in a mirror. This makes them one of six species and the only non-mammal to be able to do so...

"Pigeons have the ability to see about 26 miles."

https://www.wild-bird-watching.com/Pigeons.html