I probably won't watch the series. I think the so-called real life Capote is less interesting than the author of his fictions.
ASIDE: my father was born and raised in a small Alabama town about 20 miles from Monroeville, where Capote spent some of his youth, and Harper Lee much of her life. We went there fairly often in the late 1950's for "sophisticated" shopping.
RECOMMENDATION: Capote's short story "My Side of the Matter." It encapsulates my own philosophy of life, that each of us has a particular perspective on reality, a perspective that is bound to be incomplete and/or biased, but it is possible for an observer to look beyond any one individual's perspective and infer or stitch together a perspective that is closer to a kind of overall reality because it isn't limited to just one individual's viewpoint. I find perspectivism a more rewarding personal philosophy than relativism.
ASIDE: I doubt that I need mention to you Ivo Andric (been some time since I've read him, and my senior memory's rather foggy). You probably know his work much better than I do.